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Finding the Fourth Proportional to 9,254.92, 12,775.94 and 5,902.22

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Solution

The fourth proportional to 9,254.92, 12,775.94 and 5,902.22 is: 8,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.92 : 12,775.94 = 5,902.22 : x
  2. Step 2: Convert to fraction form
    9,254.92/12,775.94 = 5,902.22/x
  3. Step 3: Cross multiply
    9,254.92x = 12,775.94 × 5,902.22
  4. Step 4: Simplify right side
    9,254.92x = 75,406,408.59
  5. Step 5: Solve for x
    x = 75,406,408.59/9,254.92
  6. Step 6: Final answer
    x = 8,147.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.