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Finding the Fourth Proportional to 6,750, 10,080.66 and 5,827.44

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Solution

The fourth proportional to 6,750, 10,080.66 and 5,827.44 is: 8,702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750 : 10,080.66 = 5,827.44 : x
  2. Step 2: Convert to fraction form
    6,750/10,080.66 = 5,827.44/x
  3. Step 3: Cross multiply
    6,750x = 10,080.66 × 5,827.44
  4. Step 4: Simplify right side
    6,750x = 58,744,441.31
  5. Step 5: Solve for x
    x = 58,744,441.31/6,750
  6. Step 6: Final answer
    x = 8,702.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.