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Finding the Fourth Proportional to 6,767.61, 9,331.70 and 4,374.42

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Solution

The fourth proportional to 6,767.61, 9,331.70 and 4,374.42 is: 6,031.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.61 : 9,331.70 = 4,374.42 : x
  2. Step 2: Convert to fraction form
    6,767.61/9,331.70 = 4,374.42/x
  3. Step 3: Cross multiply
    6,767.61x = 9,331.70 × 4,374.42
  4. Step 4: Simplify right side
    6,767.61x = 40,820,753.24
  5. Step 5: Solve for x
    x = 40,820,753.24/6,767.61
  6. Step 6: Final answer
    x = 6,031.78

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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.