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Finding the Fourth Proportional to 22,869.44, 34,304.16 and 6,453.44

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Solution

The fourth proportional to 22,869.44, 34,304.16 and 6,453.44 is: 9,680.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,869.44 : 34,304.16 = 6,453.44 : x
  2. Step 2: Convert to fraction form
    22,869.44/34,304.16 = 6,453.44/x
  3. Step 3: Cross multiply
    22,869.44x = 34,304.16 × 6,453.44
  4. Step 4: Simplify right side
    22,869.44x = 221,379,838.31
  5. Step 5: Solve for x
    x = 221,379,838.31/22,869.44
  6. Step 6: Final answer
    x = 9,680.16

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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.