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Finding the Fourth Proportional to 6,514.76, 9,766.13 and 2,353.78

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Solution

The fourth proportional to 6,514.76, 9,766.13 and 2,353.78 is: 3,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.76 : 9,766.13 = 2,353.78 : x
  2. Step 2: Convert to fraction form
    6,514.76/9,766.13 = 2,353.78/x
  3. Step 3: Cross multiply
    6,514.76x = 9,766.13 × 2,353.78
  4. Step 4: Simplify right side
    6,514.76x = 22,987,321.47
  5. Step 5: Solve for x
    x = 22,987,321.47/6,514.76
  6. Step 6: Final answer
    x = 3,528.50

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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.