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Finding the Fourth Proportional to 6,758.10, 10,137.15 and 6,502.95

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Solution

The fourth proportional to 6,758.10, 10,137.15 and 6,502.95 is: 9,754.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.10 : 10,137.15 = 6,502.95 : x
  2. Step 2: Convert to fraction form
    6,758.10/10,137.15 = 6,502.95/x
  3. Step 3: Cross multiply
    6,758.10x = 10,137.15 × 6,502.95
  4. Step 4: Simplify right side
    6,758.10x = 65,921,379.59
  5. Step 5: Solve for x
    x = 65,921,379.59/6,758.10
  6. Step 6: Final answer
    x = 9,754.43

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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.