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Finding the Fourth Proportional to 15,194.01, 22,793.43 and 6,429

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Solution

The fourth proportional to 15,194.01, 22,793.43 and 6,429 is: 9,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,194.01 : 22,793.43 = 6,429 : x
  2. Step 2: Convert to fraction form
    15,194.01/22,793.43 = 6,429/x
  3. Step 3: Cross multiply
    15,194.01x = 22,793.43 × 6,429
  4. Step 4: Simplify right side
    15,194.01x = 146,538,961.47
  5. Step 5: Solve for x
    x = 146,538,961.47/15,194.01
  6. Step 6: Final answer
    x = 9,644.52

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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.