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Finding the Fourth Proportional to 10,679.69, 14,737.68 and 5,899.75

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Solution

The fourth proportional to 10,679.69, 14,737.68 and 5,899.75 is: 8,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.69 : 14,737.68 = 5,899.75 : x
  2. Step 2: Convert to fraction form
    10,679.69/14,737.68 = 5,899.75/x
  3. Step 3: Cross multiply
    10,679.69x = 14,737.68 × 5,899.75
  4. Step 4: Simplify right side
    10,679.69x = 86,948,590.74
  5. Step 5: Solve for x
    x = 86,948,590.74/10,679.69
  6. Step 6: Final answer
    x = 8,141.49

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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.