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Finding the Fourth Proportional to 9,804.44, 13,531.74 and 7,160.60

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Solution

The fourth proportional to 9,804.44, 13,531.74 and 7,160.60 is: 9,882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.44 : 13,531.74 = 7,160.60 : x
  2. Step 2: Convert to fraction form
    9,804.44/13,531.74 = 7,160.60/x
  3. Step 3: Cross multiply
    9,804.44x = 13,531.74 × 7,160.60
  4. Step 4: Simplify right side
    9,804.44x = 96,895,377.44
  5. Step 5: Solve for x
    x = 96,895,377.44/9,804.44
  6. Step 6: Final answer
    x = 9,882.81

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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.