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Finding the Fourth Proportional to 6,878.98, 9,493.57 and 4,227.31

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Solution

The fourth proportional to 6,878.98, 9,493.57 and 4,227.31 is: 5,834.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.98 : 9,493.57 = 4,227.31 : x
  2. Step 2: Convert to fraction form
    6,878.98/9,493.57 = 4,227.31/x
  3. Step 3: Cross multiply
    6,878.98x = 9,493.57 × 4,227.31
  4. Step 4: Simplify right side
    6,878.98x = 40,132,263.40
  5. Step 5: Solve for x
    x = 40,132,263.40/6,878.98
  6. Step 6: Final answer
    x = 5,834.04

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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.