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Finding the Fourth Proportional to 6,854.57, 10,281.90 and 2,174.48

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Solution

The fourth proportional to 6,854.57, 10,281.90 and 2,174.48 is: 3,261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.57 : 10,281.90 = 2,174.48 : x
  2. Step 2: Convert to fraction form
    6,854.57/10,281.90 = 2,174.48/x
  3. Step 3: Cross multiply
    6,854.57x = 10,281.90 × 2,174.48
  4. Step 4: Simplify right side
    6,854.57x = 22,357,785.91
  5. Step 5: Solve for x
    x = 22,357,785.91/6,854.57
  6. Step 6: Final answer
    x = 3,261.73

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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.