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Finding the Fourth Proportional to 27,610.60, 41,415.90 and 6,834.10

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Solution

The fourth proportional to 27,610.60, 41,415.90 and 6,834.10 is: 10,251.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,610.60 : 41,415.90 = 6,834.10 : x
  2. Step 2: Convert to fraction form
    27,610.60/41,415.90 = 6,834.10/x
  3. Step 3: Cross multiply
    27,610.60x = 41,415.90 × 6,834.10
  4. Step 4: Simplify right side
    27,610.60x = 283,040,402.19
  5. Step 5: Solve for x
    x = 283,040,402.19/27,610.60
  6. Step 6: Final answer
    x = 10,251.15

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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.