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Finding the Fourth Proportional to 6,854.48, 10,276.20 and 2,469.20

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Solution

The fourth proportional to 6,854.48, 10,276.20 and 2,469.20 is: 3,701.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.48 : 10,276.20 = 2,469.20 : x
  2. Step 2: Convert to fraction form
    6,854.48/10,276.20 = 2,469.20/x
  3. Step 3: Cross multiply
    6,854.48x = 10,276.20 × 2,469.20
  4. Step 4: Simplify right side
    6,854.48x = 25,373,993.04
  5. Step 5: Solve for x
    x = 25,373,993.04/6,854.48
  6. Step 6: Final answer
    x = 3,701.81

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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.