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Finding the Fourth Proportional to 8,471.56, 11,691.18 and 5,114.32

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Solution

The fourth proportional to 8,471.56, 11,691.18 and 5,114.32 is: 7,058.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.56 : 11,691.18 = 5,114.32 : x
  2. Step 2: Convert to fraction form
    8,471.56/11,691.18 = 5,114.32/x
  3. Step 3: Cross multiply
    8,471.56x = 11,691.18 × 5,114.32
  4. Step 4: Simplify right side
    8,471.56x = 59,792,435.70
  5. Step 5: Solve for x
    x = 59,792,435.70/8,471.56
  6. Step 6: Final answer
    x = 7,058.02

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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.