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Finding the Fourth Proportional to 9,640.26, 13,310.13 and 7,295.22

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Solution

The fourth proportional to 9,640.26, 13,310.13 and 7,295.22 is: 10,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.26 : 13,310.13 = 7,295.22 : x
  2. Step 2: Convert to fraction form
    9,640.26/13,310.13 = 7,295.22/x
  3. Step 3: Cross multiply
    9,640.26x = 13,310.13 × 7,295.22
  4. Step 4: Simplify right side
    9,640.26x = 97,100,326.58
  5. Step 5: Solve for x
    x = 97,100,326.58/9,640.26
  6. Step 6: Final answer
    x = 10,072.38

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Half scale
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Double scale
Find fourth proportional to 9,641.26, 13,311.51 and 7,296.22
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.