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Finding the Fourth Proportional to 12,001.84, 17,971.23 and 8,472.82

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Solution

The fourth proportional to 12,001.84, 17,971.23 and 8,472.82 is: 12,686.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,001.84 : 17,971.23 = 8,472.82 : x
  2. Step 2: Convert to fraction form
    12,001.84/17,971.23 = 8,472.82/x
  3. Step 3: Cross multiply
    12,001.84x = 17,971.23 × 8,472.82
  4. Step 4: Simplify right side
    12,001.84x = 152,266,996.97
  5. Step 5: Solve for x
    x = 152,266,996.97/12,001.84
  6. Step 6: Final answer
    x = 12,686.97

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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.