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Finding the Fourth Proportional to 5,646.48, 8,471.14 and 2,874.66

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Solution

The fourth proportional to 5,646.48, 8,471.14 and 2,874.66 is: 4,312.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.48 : 8,471.14 = 2,874.66 : x
  2. Step 2: Convert to fraction form
    5,646.48/8,471.14 = 2,874.66/x
  3. Step 3: Cross multiply
    5,646.48x = 8,471.14 × 2,874.66
  4. Step 4: Simplify right side
    5,646.48x = 24,351,647.31
  5. Step 5: Solve for x
    x = 24,351,647.31/5,646.48
  6. Step 6: Final answer
    x = 4,312.71

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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.