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Finding the Fourth Proportional to 10,049.60, 15,069.60 and 4,502.99

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Solution

The fourth proportional to 10,049.60, 15,069.60 and 4,502.99 is: 6,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.60 : 15,069.60 = 4,502.99 : x
  2. Step 2: Convert to fraction form
    10,049.60/15,069.60 = 4,502.99/x
  3. Step 3: Cross multiply
    10,049.60x = 15,069.60 × 4,502.99
  4. Step 4: Simplify right side
    10,049.60x = 67,858,182.76
  5. Step 5: Solve for x
    x = 67,858,182.76/10,049.60
  6. Step 6: Final answer
    x = 6,752.33

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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.