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Finding the Fourth Proportional to 11,410.92, 15,745.14 and 6,934.32

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Solution

The fourth proportional to 11,410.92, 15,745.14 and 6,934.32 is: 9,568.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.92 : 15,745.14 = 6,934.32 : x
  2. Step 2: Convert to fraction form
    11,410.92/15,745.14 = 6,934.32/x
  3. Step 3: Cross multiply
    11,410.92x = 15,745.14 × 6,934.32
  4. Step 4: Simplify right side
    11,410.92x = 109,181,839.20
  5. Step 5: Solve for x
    x = 109,181,839.20/11,410.92
  6. Step 6: Final answer
    x = 9,568.19

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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.