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Finding the Fourth Proportional to 26,560.56, 39,840.87 and 6,839.16

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Solution

The fourth proportional to 26,560.56, 39,840.87 and 6,839.16 is: 10,258.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,560.56 : 39,840.87 = 6,839.16 : x
  2. Step 2: Convert to fraction form
    26,560.56/39,840.87 = 6,839.16/x
  3. Step 3: Cross multiply
    26,560.56x = 39,840.87 × 6,839.16
  4. Step 4: Simplify right side
    26,560.56x = 272,478,084.47
  5. Step 5: Solve for x
    x = 272,478,084.47/26,560.56
  6. Step 6: Final answer
    x = 10,258.75

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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.