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Finding the Fourth Proportional to 4,471.74, 6,747.82 and 4,317.30

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Solution

The fourth proportional to 4,471.74, 6,747.82 and 4,317.30 is: 6,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.74 : 6,747.82 = 4,317.30 : x
  2. Step 2: Convert to fraction form
    4,471.74/6,747.82 = 4,317.30/x
  3. Step 3: Cross multiply
    4,471.74x = 6,747.82 × 4,317.30
  4. Step 4: Simplify right side
    4,471.74x = 29,132,363.29
  5. Step 5: Solve for x
    x = 29,132,363.29/4,471.74
  6. Step 6: Final answer
    x = 6,514.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.