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Finding the Fourth Proportional to 6,273.76, 9,410.64 and 2,377.24

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Solution

The fourth proportional to 6,273.76, 9,410.64 and 2,377.24 is: 3,565.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273.76 : 9,410.64 = 2,377.24 : x
  2. Step 2: Convert to fraction form
    6,273.76/9,410.64 = 2,377.24/x
  3. Step 3: Cross multiply
    6,273.76x = 9,410.64 × 2,377.24
  4. Step 4: Simplify right side
    6,273.76x = 22,371,349.83
  5. Step 5: Solve for x
    x = 22,371,349.83/6,273.76
  6. Step 6: Final answer
    x = 3,565.86

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Similar ratio
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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.