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Finding the Fourth Proportional to 6,881.01, 10,323.13 and 2,498.50

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Solution

The fourth proportional to 6,881.01, 10,323.13 and 2,498.50 is: 3,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.01 : 10,323.13 = 2,498.50 : x
  2. Step 2: Convert to fraction form
    6,881.01/10,323.13 = 2,498.50/x
  3. Step 3: Cross multiply
    6,881.01x = 10,323.13 × 2,498.50
  4. Step 4: Simplify right side
    6,881.01x = 25,792,340.31
  5. Step 5: Solve for x
    x = 25,792,340.31/6,881.01
  6. Step 6: Final answer
    x = 3,748.34

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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.