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Finding the Fourth Proportional to 13,502.92, 18,634.42 and 7,534.46

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Solution

The fourth proportional to 13,502.92, 18,634.42 and 7,534.46 is: 10,397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.92 : 18,634.42 = 7,534.46 : x
  2. Step 2: Convert to fraction form
    13,502.92/18,634.42 = 7,534.46/x
  3. Step 3: Cross multiply
    13,502.92x = 18,634.42 × 7,534.46
  4. Step 4: Simplify right side
    13,502.92x = 140,400,292.11
  5. Step 5: Solve for x
    x = 140,400,292.11/13,502.92
  6. Step 6: Final answer
    x = 10,397.77

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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.