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Finding the Fourth Proportional to 26,792.60, 40,189.11 and 7,071.02

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Solution

The fourth proportional to 26,792.60, 40,189.11 and 7,071.02 is: 10,606.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,792.60 : 40,189.11 = 7,071.02 : x
  2. Step 2: Convert to fraction form
    26,792.60/40,189.11 = 7,071.02/x
  3. Step 3: Cross multiply
    26,792.60x = 40,189.11 × 7,071.02
  4. Step 4: Simplify right side
    26,792.60x = 284,178,000.59
  5. Step 5: Solve for x
    x = 284,178,000.59/26,792.60
  6. Step 6: Final answer
    x = 10,606.59

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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.