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Finding the Fourth Proportional to 10,677.88, 16,005.84 and 5,122.88

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Solution

The fourth proportional to 10,677.88, 16,005.84 and 5,122.88 is: 7,679.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.88 : 16,005.84 = 5,122.88 : x
  2. Step 2: Convert to fraction form
    10,677.88/16,005.84 = 5,122.88/x
  3. Step 3: Cross multiply
    10,677.88x = 16,005.84 × 5,122.88
  4. Step 4: Simplify right side
    10,677.88x = 81,995,997.62
  5. Step 5: Solve for x
    x = 81,995,997.62/10,677.88
  6. Step 6: Final answer
    x = 7,679.05

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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.