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Finding the Fourth Proportional to 10,613.16, 14,645.07 and 6,634.71

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Solution

The fourth proportional to 10,613.16, 14,645.07 and 6,634.71 is: 9,155.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.16 : 14,645.07 = 6,634.71 : x
  2. Step 2: Convert to fraction form
    10,613.16/14,645.07 = 6,634.71/x
  3. Step 3: Cross multiply
    10,613.16x = 14,645.07 × 6,634.71
  4. Step 4: Simplify right side
    10,613.16x = 97,165,792.38
  5. Step 5: Solve for x
    x = 97,165,792.38/10,613.16
  6. Step 6: Final answer
    x = 9,155.22

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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.