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Finding the Fourth Proportional to 12,718.92, 17,552.80 and 7,413.42

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Solution

The fourth proportional to 12,718.92, 17,552.80 and 7,413.42 is: 10,230.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,718.92 : 17,552.80 = 7,413.42 : x
  2. Step 2: Convert to fraction form
    12,718.92/17,552.80 = 7,413.42/x
  3. Step 3: Cross multiply
    12,718.92x = 17,552.80 × 7,413.42
  4. Step 4: Simplify right side
    12,718.92x = 130,126,278.58
  5. Step 5: Solve for x
    x = 130,126,278.58/12,718.92
  6. Step 6: Final answer
    x = 10,230.92

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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.