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Finding the Fourth Proportional to 15,949.50, 22,010.31 and 9,325.50

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Solution

The fourth proportional to 15,949.50, 22,010.31 and 9,325.50 is: 12,869.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,949.50 : 22,010.31 = 9,325.50 : x
  2. Step 2: Convert to fraction form
    15,949.50/22,010.31 = 9,325.50/x
  3. Step 3: Cross multiply
    15,949.50x = 22,010.31 × 9,325.50
  4. Step 4: Simplify right side
    15,949.50x = 205,257,145.91
  5. Step 5: Solve for x
    x = 205,257,145.91/15,949.50
  6. Step 6: Final answer
    x = 12,869.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.