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Finding the Fourth Proportional to 26,334.75, 39,502.14 and 7,866.75

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Solution

The fourth proportional to 26,334.75, 39,502.14 and 7,866.75 is: 11,800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,334.75 : 39,502.14 = 7,866.75 : x
  2. Step 2: Convert to fraction form
    26,334.75/39,502.14 = 7,866.75/x
  3. Step 3: Cross multiply
    26,334.75x = 39,502.14 × 7,866.75
  4. Step 4: Simplify right side
    26,334.75x = 310,753,459.85
  5. Step 5: Solve for x
    x = 310,753,459.85/26,334.75
  6. Step 6: Final answer
    x = 11,800.13

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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.