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Finding the Fourth Proportional to 5,605.71, 8,414.03 and 4,277.04

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Solution

The fourth proportional to 5,605.71, 8,414.03 and 4,277.04 is: 6,419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.71 : 8,414.03 = 4,277.04 : x
  2. Step 2: Convert to fraction form
    5,605.71/8,414.03 = 4,277.04/x
  3. Step 3: Cross multiply
    5,605.71x = 8,414.03 × 4,277.04
  4. Step 4: Simplify right side
    5,605.71x = 35,987,142.87
  5. Step 5: Solve for x
    x = 35,987,142.87/5,605.71
  6. Step 6: Final answer
    x = 6,419.73

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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.