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Finding the Fourth Proportional to 6,254.70, 9,382.05 and 5,744.40

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Solution

The fourth proportional to 6,254.70, 9,382.05 and 5,744.40 is: 8,616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.70 : 9,382.05 = 5,744.40 : x
  2. Step 2: Convert to fraction form
    6,254.70/9,382.05 = 5,744.40/x
  3. Step 3: Cross multiply
    6,254.70x = 9,382.05 × 5,744.40
  4. Step 4: Simplify right side
    6,254.70x = 53,894,248.02
  5. Step 5: Solve for x
    x = 53,894,248.02/6,254.70
  6. Step 6: Final answer
    x = 8,616.60

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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.