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Finding the Fourth Proportional to 6,734, 10,102.80 and 2,117

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Solution

The fourth proportional to 6,734, 10,102.80 and 2,117 is: 3,176.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734 : 10,102.80 = 2,117 : x
  2. Step 2: Convert to fraction form
    6,734/10,102.80 = 2,117/x
  3. Step 3: Cross multiply
    6,734x = 10,102.80 × 2,117
  4. Step 4: Simplify right side
    6,734x = 21,387,627.60
  5. Step 5: Solve for x
    x = 21,387,627.60/6,734
  6. Step 6: Final answer
    x = 3,176.07

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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.