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Finding the Fourth Proportional to 20,974.11, 31,461.16 and 7,648.11

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Solution

The fourth proportional to 20,974.11, 31,461.16 and 7,648.11 is: 11,472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,974.11 : 31,461.16 = 7,648.11 : x
  2. Step 2: Convert to fraction form
    20,974.11/31,461.16 = 7,648.11/x
  3. Step 3: Cross multiply
    20,974.11x = 31,461.16 × 7,648.11
  4. Step 4: Simplify right side
    20,974.11x = 240,618,393.29
  5. Step 5: Solve for x
    x = 240,618,393.29/20,974.11
  6. Step 6: Final answer
    x = 11,472.16

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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.