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Finding the Fourth Proportional to 9,704.97, 13,392.10 and 5,929.97

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Solution

The fourth proportional to 9,704.97, 13,392.10 and 5,929.97 is: 8,182.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.97 : 13,392.10 = 5,929.97 : x
  2. Step 2: Convert to fraction form
    9,704.97/13,392.10 = 5,929.97/x
  3. Step 3: Cross multiply
    9,704.97x = 13,392.10 × 5,929.97
  4. Step 4: Simplify right side
    9,704.97x = 79,414,691.69
  5. Step 5: Solve for x
    x = 79,414,691.69/9,704.97
  6. Step 6: Final answer
    x = 8,182.89

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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.