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Finding the Fourth Proportional to 9,932.41, 13,685.07 and 7,413.50

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Solution

The fourth proportional to 9,932.41, 13,685.07 and 7,413.50 is: 10,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.41 : 13,685.07 = 7,413.50 : x
  2. Step 2: Convert to fraction form
    9,932.41/13,685.07 = 7,413.50/x
  3. Step 3: Cross multiply
    9,932.41x = 13,685.07 × 7,413.50
  4. Step 4: Simplify right side
    9,932.41x = 101,454,266.45
  5. Step 5: Solve for x
    x = 101,454,266.45/9,932.41
  6. Step 6: Final answer
    x = 10,214.47

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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.