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Finding the Fourth Proportional to 8,586.19, 12,854.17 and 6,514.37

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Solution

The fourth proportional to 8,586.19, 12,854.17 and 6,514.37 is: 9,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.19 : 12,854.17 = 6,514.37 : x
  2. Step 2: Convert to fraction form
    8,586.19/12,854.17 = 6,514.37/x
  3. Step 3: Cross multiply
    8,586.19x = 12,854.17 × 6,514.37
  4. Step 4: Simplify right side
    8,586.19x = 83,736,819.42
  5. Step 5: Solve for x
    x = 83,736,819.42/8,586.19
  6. Step 6: Final answer
    x = 9,752.50

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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.