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Finding the Fourth Proportional to 8,471.90, 11,691.60 and 4,695.06

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Solution

The fourth proportional to 8,471.90, 11,691.60 and 4,695.06 is: 6,479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.90 : 11,691.60 = 4,695.06 : x
  2. Step 2: Convert to fraction form
    8,471.90/11,691.60 = 4,695.06/x
  3. Step 3: Cross multiply
    8,471.90x = 11,691.60 × 4,695.06
  4. Step 4: Simplify right side
    8,471.90x = 54,892,763.50
  5. Step 5: Solve for x
    x = 54,892,763.50/8,471.90
  6. Step 6: Final answer
    x = 6,479.39

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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.