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Finding the Fourth Proportional to 9,214.65, 13,819.82 and 6,292.17

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Solution

The fourth proportional to 9,214.65, 13,819.82 and 6,292.17 is: 9,436.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.65 : 13,819.82 = 6,292.17 : x
  2. Step 2: Convert to fraction form
    9,214.65/13,819.82 = 6,292.17/x
  3. Step 3: Cross multiply
    9,214.65x = 13,819.82 × 6,292.17
  4. Step 4: Simplify right side
    9,214.65x = 86,956,625.35
  5. Step 5: Solve for x
    x = 86,956,625.35/9,214.65
  6. Step 6: Final answer
    x = 9,436.78

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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.