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Finding the Fourth Proportional to 5,260.86, 7,892.24 and 1,512.46

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Solution

The fourth proportional to 5,260.86, 7,892.24 and 1,512.46 is: 2,268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.86 : 7,892.24 = 1,512.46 : x
  2. Step 2: Convert to fraction form
    5,260.86/7,892.24 = 1,512.46/x
  3. Step 3: Cross multiply
    5,260.86x = 7,892.24 × 1,512.46
  4. Step 4: Simplify right side
    5,260.86x = 11,936,655.22
  5. Step 5: Solve for x
    x = 11,936,655.22/5,260.86
  6. Step 6: Final answer
    x = 2,268.96

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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.