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Finding the Fourth Proportional to 7,023.07, 9,691.89 and 3,836.30

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Solution

The fourth proportional to 7,023.07, 9,691.89 and 3,836.30 is: 5,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.07 : 9,691.89 = 3,836.30 : x
  2. Step 2: Convert to fraction form
    7,023.07/9,691.89 = 3,836.30/x
  3. Step 3: Cross multiply
    7,023.07x = 9,691.89 × 3,836.30
  4. Step 4: Simplify right side
    7,023.07x = 37,180,997.61
  5. Step 5: Solve for x
    x = 37,180,997.61/7,023.07
  6. Step 6: Final answer
    x = 5,294.13

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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.