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Finding the Fourth Proportional to 6,840, 10,261.68 and 2,223.04

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Solution

The fourth proportional to 6,840, 10,261.68 and 2,223.04 is: 3,335.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840 : 10,261.68 = 2,223.04 : x
  2. Step 2: Convert to fraction form
    6,840/10,261.68 = 2,223.04/x
  3. Step 3: Cross multiply
    6,840x = 10,261.68 × 2,223.04
  4. Step 4: Simplify right side
    6,840x = 22,812,125.11
  5. Step 5: Solve for x
    x = 22,812,125.11/6,840
  6. Step 6: Final answer
    x = 3,335.11

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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.