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Finding the Fourth Proportional to 9,342.76, 12,892.26 and 5,150.44

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Solution

The fourth proportional to 9,342.76, 12,892.26 and 5,150.44 is: 7,107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.76 : 12,892.26 = 5,150.44 : x
  2. Step 2: Convert to fraction form
    9,342.76/12,892.26 = 5,150.44/x
  3. Step 3: Cross multiply
    9,342.76x = 12,892.26 × 5,150.44
  4. Step 4: Simplify right side
    9,342.76x = 66,400,811.59
  5. Step 5: Solve for x
    x = 66,400,811.59/9,342.76
  6. Step 6: Final answer
    x = 7,107.19

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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.