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Finding the Fourth Proportional to 13,613.27, 18,787.14 and 7,643.97

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Solution

The fourth proportional to 13,613.27, 18,787.14 and 7,643.97 is: 10,549.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.27 : 18,787.14 = 7,643.97 : x
  2. Step 2: Convert to fraction form
    13,613.27/18,787.14 = 7,643.97/x
  3. Step 3: Cross multiply
    13,613.27x = 18,787.14 × 7,643.97
  4. Step 4: Simplify right side
    13,613.27x = 143,608,334.55
  5. Step 5: Solve for x
    x = 143,608,334.55/13,613.27
  6. Step 6: Final answer
    x = 10,549.15

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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.