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Finding the Fourth Proportional to 6,348.43, 8,760.98 and 4,114.20

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Solution

The fourth proportional to 6,348.43, 8,760.98 and 4,114.20 is: 5,677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.43 : 8,760.98 = 4,114.20 : x
  2. Step 2: Convert to fraction form
    6,348.43/8,760.98 = 4,114.20/x
  3. Step 3: Cross multiply
    6,348.43x = 8,760.98 × 4,114.20
  4. Step 4: Simplify right side
    6,348.43x = 36,044,359.54
  5. Step 5: Solve for x
    x = 36,044,359.54/6,348.43
  6. Step 6: Final answer
    x = 5,677.68

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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.