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Finding the Fourth Proportional to 7,841.88, 10,822.14 and 4,698

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Solution

The fourth proportional to 7,841.88, 10,822.14 and 4,698 is: 6,483.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.88 : 10,822.14 = 4,698 : x
  2. Step 2: Convert to fraction form
    7,841.88/10,822.14 = 4,698/x
  3. Step 3: Cross multiply
    7,841.88x = 10,822.14 × 4,698
  4. Step 4: Simplify right side
    7,841.88x = 50,842,413.72
  5. Step 5: Solve for x
    x = 50,842,413.72/7,841.88
  6. Step 6: Final answer
    x = 6,483.45

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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.