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Finding the Fourth Proportional to 11,559.04, 15,949.17 and 6,843.62

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Solution

The fourth proportional to 11,559.04, 15,949.17 and 6,843.62 is: 9,442.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559.04 : 15,949.17 = 6,843.62 : x
  2. Step 2: Convert to fraction form
    11,559.04/15,949.17 = 6,843.62/x
  3. Step 3: Cross multiply
    11,559.04x = 15,949.17 × 6,843.62
  4. Step 4: Simplify right side
    11,559.04x = 109,150,098.67
  5. Step 5: Solve for x
    x = 109,150,098.67/11,559.04
  6. Step 6: Final answer
    x = 9,442.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.