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Finding the Fourth Proportional to 27,686.46, 41,531.13 and 6,910.14

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Solution

The fourth proportional to 27,686.46, 41,531.13 and 6,910.14 is: 10,365.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,686.46 : 41,531.13 = 6,910.14 : x
  2. Step 2: Convert to fraction form
    27,686.46/41,531.13 = 6,910.14/x
  3. Step 3: Cross multiply
    27,686.46x = 41,531.13 × 6,910.14
  4. Step 4: Simplify right side
    27,686.46x = 286,985,922.66
  5. Step 5: Solve for x
    x = 286,985,922.66/27,686.46
  6. Step 6: Final answer
    x = 10,365.57

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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.