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Finding the Fourth Proportional to 6,741.70, 10,112.55 and 6,514.90

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Solution

The fourth proportional to 6,741.70, 10,112.55 and 6,514.90 is: 9,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.70 : 10,112.55 = 6,514.90 : x
  2. Step 2: Convert to fraction form
    6,741.70/10,112.55 = 6,514.90/x
  3. Step 3: Cross multiply
    6,741.70x = 10,112.55 × 6,514.90
  4. Step 4: Simplify right side
    6,741.70x = 65,882,252.00
  5. Step 5: Solve for x
    x = 65,882,252.00/6,741.70
  6. Step 6: Final answer
    x = 9,772.35

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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.