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Finding the Fourth Proportional to 10,275, 15,413.72 and 3,349.50

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Solution

The fourth proportional to 10,275, 15,413.72 and 3,349.50 is: 5,024.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275 : 15,413.72 = 3,349.50 : x
  2. Step 2: Convert to fraction form
    10,275/15,413.72 = 3,349.50/x
  3. Step 3: Cross multiply
    10,275x = 15,413.72 × 3,349.50
  4. Step 4: Simplify right side
    10,275x = 51,628,238.39
  5. Step 5: Solve for x
    x = 51,628,238.39/10,275
  6. Step 6: Final answer
    x = 5,024.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.