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Finding the Fourth Proportional to 10,049.68, 15,069.84 and 5,890.96

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Solution

The fourth proportional to 10,049.68, 15,069.84 and 5,890.96 is: 8,833.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.68 : 15,069.84 = 5,890.96 : x
  2. Step 2: Convert to fraction form
    10,049.68/15,069.84 = 5,890.96/x
  3. Step 3: Cross multiply
    10,049.68x = 15,069.84 × 5,890.96
  4. Step 4: Simplify right side
    10,049.68x = 88,775,824.65
  5. Step 5: Solve for x
    x = 88,775,824.65/10,049.68
  6. Step 6: Final answer
    x = 8,833.70

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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.