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Finding the Fourth Proportional to 10,679.60, 14,737.68 and 5,965.04

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Solution

The fourth proportional to 10,679.60, 14,737.68 and 5,965.04 is: 8,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.60 : 14,737.68 = 5,965.04 : x
  2. Step 2: Convert to fraction form
    10,679.60/14,737.68 = 5,965.04/x
  3. Step 3: Cross multiply
    10,679.60x = 14,737.68 × 5,965.04
  4. Step 4: Simplify right side
    10,679.60x = 87,910,850.71
  5. Step 5: Solve for x
    x = 87,910,850.71/10,679.60
  6. Step 6: Final answer
    x = 8,231.66

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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.