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Finding the Fourth Proportional to 7,471.56, 10,306.87 and 6,056.85

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Solution

The fourth proportional to 7,471.56, 10,306.87 and 6,056.85 is: 8,355.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.56 : 10,306.87 = 6,056.85 : x
  2. Step 2: Convert to fraction form
    7,471.56/10,306.87 = 6,056.85/x
  3. Step 3: Cross multiply
    7,471.56x = 10,306.87 × 6,056.85
  4. Step 4: Simplify right side
    7,471.56x = 62,427,165.56
  5. Step 5: Solve for x
    x = 62,427,165.56/7,471.56
  6. Step 6: Final answer
    x = 8,355.31

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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.