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Finding the Fourth Proportional to 6,862.50, 9,469.08 and 3,878.10

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Solution

The fourth proportional to 6,862.50, 9,469.08 and 3,878.10 is: 5,351.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.50 : 9,469.08 = 3,878.10 : x
  2. Step 2: Convert to fraction form
    6,862.50/9,469.08 = 3,878.10/x
  3. Step 3: Cross multiply
    6,862.50x = 9,469.08 × 3,878.10
  4. Step 4: Simplify right side
    6,862.50x = 36,722,039.15
  5. Step 5: Solve for x
    x = 36,722,039.15/6,862.50
  6. Step 6: Final answer
    x = 5,351.12

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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.