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Finding the Fourth Proportional to 27,902.67, 41,854.11 and 6,842.85

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Solution

The fourth proportional to 27,902.67, 41,854.11 and 6,842.85 is: 10,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.67 : 41,854.11 = 6,842.85 : x
  2. Step 2: Convert to fraction form
    27,902.67/41,854.11 = 6,842.85/x
  3. Step 3: Cross multiply
    27,902.67x = 41,854.11 × 6,842.85
  4. Step 4: Simplify right side
    27,902.67x = 286,401,396.61
  5. Step 5: Solve for x
    x = 286,401,396.61/27,902.67
  6. Step 6: Final answer
    x = 10,264.30

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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.