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Finding the Fourth Proportional to 13,663.66, 20,496.17 and 6,264.76

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Solution

The fourth proportional to 13,663.66, 20,496.17 and 6,264.76 is: 9,397.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.66 : 20,496.17 = 6,264.76 : x
  2. Step 2: Convert to fraction form
    13,663.66/20,496.17 = 6,264.76/x
  3. Step 3: Cross multiply
    13,663.66x = 20,496.17 × 6,264.76
  4. Step 4: Simplify right side
    13,663.66x = 128,403,585.97
  5. Step 5: Solve for x
    x = 128,403,585.97/13,663.66
  6. Step 6: Final answer
    x = 9,397.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.