Home / 7,822.47-11,733.37-2,275.70

Finding the Fourth Proportional to 7,822.47, 11,733.37 and 2,275.70

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Solution

The fourth proportional to 7,822.47, 11,733.37 and 2,275.70 is: 3,413.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.47 : 11,733.37 = 2,275.70 : x
  2. Step 2: Convert to fraction form
    7,822.47/11,733.37 = 2,275.70/x
  3. Step 3: Cross multiply
    7,822.47x = 11,733.37 × 2,275.70
  4. Step 4: Simplify right side
    7,822.47x = 26,701,568.95
  5. Step 5: Solve for x
    x = 26,701,568.95/7,822.47
  6. Step 6: Final answer
    x = 3,413.44

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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.