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Finding the Fourth Proportional to 13,957.91, 20,938.22 and 4,594.10

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Solution

The fourth proportional to 13,957.91, 20,938.22 and 4,594.10 is: 6,891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.91 : 20,938.22 = 4,594.10 : x
  2. Step 2: Convert to fraction form
    13,957.91/20,938.22 = 4,594.10/x
  3. Step 3: Cross multiply
    13,957.91x = 20,938.22 × 4,594.10
  4. Step 4: Simplify right side
    13,957.91x = 96,192,348.95
  5. Step 5: Solve for x
    x = 96,192,348.95/13,957.91
  6. Step 6: Final answer
    x = 6,891.60

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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.