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Finding the Fourth Proportional to 10,770.61, 16,155.92 and 3,375.64

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Solution

The fourth proportional to 10,770.61, 16,155.92 and 3,375.64 is: 5,063.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.61 : 16,155.92 = 3,375.64 : x
  2. Step 2: Convert to fraction form
    10,770.61/16,155.92 = 3,375.64/x
  3. Step 3: Cross multiply
    10,770.61x = 16,155.92 × 3,375.64
  4. Step 4: Simplify right side
    10,770.61x = 54,536,552.91
  5. Step 5: Solve for x
    x = 54,536,552.91/10,770.61
  6. Step 6: Final answer
    x = 5,063.46

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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.