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Finding the Fourth Proportional to 12,023.18, 18,044.07 and 7,862.06

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Solution

The fourth proportional to 12,023.18, 18,044.07 and 7,862.06 is: 11,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.18 : 18,044.07 = 7,862.06 : x
  2. Step 2: Convert to fraction form
    12,023.18/18,044.07 = 7,862.06/x
  3. Step 3: Cross multiply
    12,023.18x = 18,044.07 × 7,862.06
  4. Step 4: Simplify right side
    12,023.18x = 141,863,560.98
  5. Step 5: Solve for x
    x = 141,863,560.98/12,023.18
  6. Step 6: Final answer
    x = 11,799.17

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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.