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Finding the Fourth Proportional to 26,549.42, 39,824.08 and 7,842.59

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Solution

The fourth proportional to 26,549.42, 39,824.08 and 7,842.59 is: 11,763.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,549.42 : 39,824.08 = 7,842.59 : x
  2. Step 2: Convert to fraction form
    26,549.42/39,824.08 = 7,842.59/x
  3. Step 3: Cross multiply
    26,549.42x = 39,824.08 × 7,842.59
  4. Step 4: Simplify right side
    26,549.42x = 312,323,892.35
  5. Step 5: Solve for x
    x = 312,323,892.35/26,549.42
  6. Step 6: Final answer
    x = 11,763.87

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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.