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Finding the Fourth Proportional to 6,474.69, 8,929.56 and 5,471.30

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Solution

The fourth proportional to 6,474.69, 8,929.56 and 5,471.30 is: 7,545.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.69 : 8,929.56 = 5,471.30 : x
  2. Step 2: Convert to fraction form
    6,474.69/8,929.56 = 5,471.30/x
  3. Step 3: Cross multiply
    6,474.69x = 8,929.56 × 5,471.30
  4. Step 4: Simplify right side
    6,474.69x = 48,856,301.63
  5. Step 5: Solve for x
    x = 48,856,301.63/6,474.69
  6. Step 6: Final answer
    x = 7,545.74

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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.