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Finding the Fourth Proportional to 13,442.49, 18,550.71 and 7,474.71

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Solution

The fourth proportional to 13,442.49, 18,550.71 and 7,474.71 is: 10,315.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.49 : 18,550.71 = 7,474.71 : x
  2. Step 2: Convert to fraction form
    13,442.49/18,550.71 = 7,474.71/x
  3. Step 3: Cross multiply
    13,442.49x = 18,550.71 × 7,474.71
  4. Step 4: Simplify right side
    13,442.49x = 138,661,177.54
  5. Step 5: Solve for x
    x = 138,661,177.54/13,442.49
  6. Step 6: Final answer
    x = 10,315.14

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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.