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Finding the Fourth Proportional to 6,514.56, 9,772.56 and 2,564.64

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Solution

The fourth proportional to 6,514.56, 9,772.56 and 2,564.64 is: 3,847.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.56 : 9,772.56 = 2,564.64 : x
  2. Step 2: Convert to fraction form
    6,514.56/9,772.56 = 2,564.64/x
  3. Step 3: Cross multiply
    6,514.56x = 9,772.56 × 2,564.64
  4. Step 4: Simplify right side
    6,514.56x = 25,063,098.28
  5. Step 5: Solve for x
    x = 25,063,098.28/6,514.56
  6. Step 6: Final answer
    x = 3,847.24

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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.