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Finding the Fourth Proportional to 6,462.50, 9,687.58 and 2,076.87

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Solution

The fourth proportional to 6,462.50, 9,687.58 and 2,076.87 is: 3,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.50 : 9,687.58 = 2,076.87 : x
  2. Step 2: Convert to fraction form
    6,462.50/9,687.58 = 2,076.87/x
  3. Step 3: Cross multiply
    6,462.50x = 9,687.58 × 2,076.87
  4. Step 4: Simplify right side
    6,462.50x = 20,119,833.89
  5. Step 5: Solve for x
    x = 20,119,833.89/6,462.50
  6. Step 6: Final answer
    x = 3,113.32

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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.