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Finding the Fourth Proportional to 15,046.92, 22,573 and 6,287.98

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Solution

The fourth proportional to 15,046.92, 22,573 and 6,287.98 is: 9,433.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,046.92 : 22,573 = 6,287.98 : x
  2. Step 2: Convert to fraction form
    15,046.92/22,573 = 6,287.98/x
  3. Step 3: Cross multiply
    15,046.92x = 22,573 × 6,287.98
  4. Step 4: Simplify right side
    15,046.92x = 141,938,572.54
  5. Step 5: Solve for x
    x = 141,938,572.54/15,046.92
  6. Step 6: Final answer
    x = 9,433.06

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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.