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Finding the Fourth Proportional to 6,641.48, 9,963.12 and 2,257.76

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Solution

The fourth proportional to 6,641.48, 9,963.12 and 2,257.76 is: 3,386.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.48 : 9,963.12 = 2,257.76 : x
  2. Step 2: Convert to fraction form
    6,641.48/9,963.12 = 2,257.76/x
  3. Step 3: Cross multiply
    6,641.48x = 9,963.12 × 2,257.76
  4. Step 4: Simplify right side
    6,641.48x = 22,494,333.81
  5. Step 5: Solve for x
    x = 22,494,333.81/6,641.48
  6. Step 6: Final answer
    x = 3,386.95

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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.