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Finding the Fourth Proportional to 11,920.29, 17,868.13 and 7,768.41

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Solution

The fourth proportional to 11,920.29, 17,868.13 and 7,768.41 is: 11,644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.29 : 17,868.13 = 7,768.41 : x
  2. Step 2: Convert to fraction form
    11,920.29/17,868.13 = 7,768.41/x
  3. Step 3: Cross multiply
    11,920.29x = 17,868.13 × 7,768.41
  4. Step 4: Simplify right side
    11,920.29x = 138,806,959.77
  5. Step 5: Solve for x
    x = 138,806,959.77/11,920.29
  6. Step 6: Final answer
    x = 11,644.60

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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.