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Finding the Fourth Proportional to 13,442.70, 18,550.98 and 7,474.92

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Solution

The fourth proportional to 13,442.70, 18,550.98 and 7,474.92 is: 10,315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.70 : 18,550.98 = 7,474.92 : x
  2. Step 2: Convert to fraction form
    13,442.70/18,550.98 = 7,474.92/x
  3. Step 3: Cross multiply
    13,442.70x = 18,550.98 × 7,474.92
  4. Step 4: Simplify right side
    13,442.70x = 138,667,091.42
  5. Step 5: Solve for x
    x = 138,667,091.42/13,442.70
  6. Step 6: Final answer
    x = 10,315.42

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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.