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Finding the Fourth Proportional to 14,915.56, 22,377.78 and 6,151

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Solution

The fourth proportional to 14,915.56, 22,377.78 and 6,151 is: 9,228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,915.56 : 22,377.78 = 6,151 : x
  2. Step 2: Convert to fraction form
    14,915.56/22,377.78 = 6,151/x
  3. Step 3: Cross multiply
    14,915.56x = 22,377.78 × 6,151
  4. Step 4: Simplify right side
    14,915.56x = 137,645,724.78
  5. Step 5: Solve for x
    x = 137,645,724.78/14,915.56
  6. Step 6: Final answer
    x = 9,228.33

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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.