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Finding the Fourth Proportional to 34,471.56, 51,715.92 and 9,847.56

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Solution

The fourth proportional to 34,471.56, 51,715.92 and 9,847.56 is: 14,773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,471.56 : 51,715.92 = 9,847.56 : x
  2. Step 2: Convert to fraction form
    34,471.56/51,715.92 = 9,847.56/x
  3. Step 3: Cross multiply
    34,471.56x = 51,715.92 × 9,847.56
  4. Step 4: Simplify right side
    34,471.56x = 509,275,625.16
  5. Step 5: Solve for x
    x = 509,275,625.16/34,471.56
  6. Step 6: Final answer
    x = 14,773.79

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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.