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Finding the Fourth Proportional to 6,641.87, 9,966.60 and 2,484.77

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Solution

The fourth proportional to 6,641.87, 9,966.60 and 2,484.77 is: 3,728.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.87 : 9,966.60 = 2,484.77 : x
  2. Step 2: Convert to fraction form
    6,641.87/9,966.60 = 2,484.77/x
  3. Step 3: Cross multiply
    6,641.87x = 9,966.60 × 2,484.77
  4. Step 4: Simplify right side
    6,641.87x = 24,764,658.85
  5. Step 5: Solve for x
    x = 24,764,658.85/6,641.87
  6. Step 6: Final answer
    x = 3,728.57

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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.