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Finding the Fourth Proportional to 27,974.40, 41,950.96 and 9,248.80

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Solution

The fourth proportional to 27,974.40, 41,950.96 and 9,248.80 is: 13,869.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,974.40 : 41,950.96 = 9,248.80 : x
  2. Step 2: Convert to fraction form
    27,974.40/41,950.96 = 9,248.80/x
  3. Step 3: Cross multiply
    27,974.40x = 41,950.96 × 9,248.80
  4. Step 4: Simplify right side
    27,974.40x = 387,996,038.85
  5. Step 5: Solve for x
    x = 387,996,038.85/27,974.40
  6. Step 6: Final answer
    x = 13,869.68

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1.5x scale

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.