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Finding the Fourth Proportional to 11,410.18, 15,745.18 and 6,374.14

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Solution

The fourth proportional to 11,410.18, 15,745.18 and 6,374.14 is: 8,795.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.18 : 15,745.18 = 6,374.14 : x
  2. Step 2: Convert to fraction form
    11,410.18/15,745.18 = 6,374.14/x
  3. Step 3: Cross multiply
    11,410.18x = 15,745.18 × 6,374.14
  4. Step 4: Simplify right side
    11,410.18x = 100,361,981.65
  5. Step 5: Solve for x
    x = 100,361,981.65/11,410.18
  6. Step 6: Final answer
    x = 8,795.83

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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.