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Finding the Fourth Proportional to 6,337.74, 9,507.17 and 1,657.73

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Solution

The fourth proportional to 6,337.74, 9,507.17 and 1,657.73 is: 2,486.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.74 : 9,507.17 = 1,657.73 : x
  2. Step 2: Convert to fraction form
    6,337.74/9,507.17 = 1,657.73/x
  3. Step 3: Cross multiply
    6,337.74x = 9,507.17 × 1,657.73
  4. Step 4: Simplify right side
    6,337.74x = 15,760,320.92
  5. Step 5: Solve for x
    x = 15,760,320.92/6,337.74
  6. Step 6: Final answer
    x = 2,486.74

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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.