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Finding the Fourth Proportional to 13,502.70, 18,632.88 and 7,452.54

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Solution

The fourth proportional to 13,502.70, 18,632.88 and 7,452.54 is: 10,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.70 : 18,632.88 = 7,452.54 : x
  2. Step 2: Convert to fraction form
    13,502.70/18,632.88 = 7,452.54/x
  3. Step 3: Cross multiply
    13,502.70x = 18,632.88 × 7,452.54
  4. Step 4: Simplify right side
    13,502.70x = 138,862,283.52
  5. Step 5: Solve for x
    x = 138,862,283.52/13,502.70
  6. Step 6: Final answer
    x = 10,284.04

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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.