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Finding the Fourth Proportional to 8,471.84, 11,691.12 and 4,695.20

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Solution

The fourth proportional to 8,471.84, 11,691.12 and 4,695.20 is: 6,479.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.84 : 11,691.12 = 4,695.20 : x
  2. Step 2: Convert to fraction form
    8,471.84/11,691.12 = 4,695.20/x
  3. Step 3: Cross multiply
    8,471.84x = 11,691.12 × 4,695.20
  4. Step 4: Simplify right side
    8,471.84x = 54,892,146.62
  5. Step 5: Solve for x
    x = 54,892,146.62/8,471.84
  6. Step 6: Final answer
    x = 6,479.37

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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.