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Finding the Fourth Proportional to 6,863.74, 9,472.55 and 3,880.10

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Solution

The fourth proportional to 6,863.74, 9,472.55 and 3,880.10 is: 5,354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.74 : 9,472.55 = 3,880.10 : x
  2. Step 2: Convert to fraction form
    6,863.74/9,472.55 = 3,880.10/x
  3. Step 3: Cross multiply
    6,863.74x = 9,472.55 × 3,880.10
  4. Step 4: Simplify right side
    6,863.74x = 36,754,445.54
  5. Step 5: Solve for x
    x = 36,754,445.54/6,863.74
  6. Step 6: Final answer
    x = 5,354.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.