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Finding the Fourth Proportional to 9,905.39, 13,661.57 and 8,418.23

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Solution

The fourth proportional to 9,905.39, 13,661.57 and 8,418.23 is: 11,610.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.39 : 13,661.57 = 8,418.23 : x
  2. Step 2: Convert to fraction form
    9,905.39/13,661.57 = 8,418.23/x
  3. Step 3: Cross multiply
    9,905.39x = 13,661.57 × 8,418.23
  4. Step 4: Simplify right side
    9,905.39x = 115,006,196.33
  5. Step 5: Solve for x
    x = 115,006,196.33/9,905.39
  6. Step 6: Final answer
    x = 11,610.47

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Half scale
Find fourth proportional to 19,810.78, 27,323.13 and 16,836.46
Double scale
Find fourth proportional to 9,906.39, 13,662.94 and 8,419.23
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.