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Finding the Fourth Proportional to 10,663.44, 14,701.20 and 7,472.44

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Solution

The fourth proportional to 10,663.44, 14,701.20 and 7,472.44 is: 10,301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.44 : 14,701.20 = 7,472.44 : x
  2. Step 2: Convert to fraction form
    10,663.44/14,701.20 = 7,472.44/x
  3. Step 3: Cross multiply
    10,663.44x = 14,701.20 × 7,472.44
  4. Step 4: Simplify right side
    10,663.44x = 109,853,834.93
  5. Step 5: Solve for x
    x = 109,853,834.93/10,663.44
  6. Step 6: Final answer
    x = 10,301.91

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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.