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Finding the Fourth Proportional to 21,721, 29,974.98 and 11,785

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Solution

The fourth proportional to 21,721, 29,974.98 and 11,785 is: 16,263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,721 : 29,974.98 = 11,785 : x
  2. Step 2: Convert to fraction form
    21,721/29,974.98 = 11,785/x
  3. Step 3: Cross multiply
    21,721x = 29,974.98 × 11,785
  4. Step 4: Simplify right side
    21,721x = 353,255,139.30
  5. Step 5: Solve for x
    x = 353,255,139.30/21,721
  6. Step 6: Final answer
    x = 16,263.30

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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.