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Finding the Fourth Proportional to 6,649.17, 9,975.47 and 2,489.24

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Solution

The fourth proportional to 6,649.17, 9,975.47 and 2,489.24 is: 3,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.17 : 9,975.47 = 2,489.24 : x
  2. Step 2: Convert to fraction form
    6,649.17/9,975.47 = 2,489.24/x
  3. Step 3: Cross multiply
    6,649.17x = 9,975.47 × 2,489.24
  4. Step 4: Simplify right side
    6,649.17x = 24,831,337.38
  5. Step 5: Solve for x
    x = 24,831,337.38/6,649.17
  6. Step 6: Final answer
    x = 3,734.50

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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.