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Finding the Fourth Proportional to 6,039.66, 9,049.48 and 4,275.96

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Solution

The fourth proportional to 6,039.66, 9,049.48 and 4,275.96 is: 6,406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,039.66 : 9,049.48 = 4,275.96 : x
  2. Step 2: Convert to fraction form
    6,039.66/9,049.48 = 4,275.96/x
  3. Step 3: Cross multiply
    6,039.66x = 9,049.48 × 4,275.96
  4. Step 4: Simplify right side
    6,039.66x = 38,695,214.50
  5. Step 5: Solve for x
    x = 38,695,214.50/6,039.66
  6. Step 6: Final answer
    x = 6,406.85

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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.