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Finding the Fourth Proportional to 6,884.10, 10,326.15 and 6,543.90

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Solution

The fourth proportional to 6,884.10, 10,326.15 and 6,543.90 is: 9,815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.10 : 10,326.15 = 6,543.90 : x
  2. Step 2: Convert to fraction form
    6,884.10/10,326.15 = 6,543.90/x
  3. Step 3: Cross multiply
    6,884.10x = 10,326.15 × 6,543.90
  4. Step 4: Simplify right side
    6,884.10x = 67,573,292.99
  5. Step 5: Solve for x
    x = 67,573,292.99/6,884.10
  6. Step 6: Final answer
    x = 9,815.85

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Similar ratio
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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.