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Finding the Fourth Proportional to 6,741, 10,113.50 and 3,456.40

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Solution

The fourth proportional to 6,741, 10,113.50 and 3,456.40 is: 5,185.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741 : 10,113.50 = 3,456.40 : x
  2. Step 2: Convert to fraction form
    6,741/10,113.50 = 3,456.40/x
  3. Step 3: Cross multiply
    6,741x = 10,113.50 × 3,456.40
  4. Step 4: Simplify right side
    6,741x = 34,956,258.83
  5. Step 5: Solve for x
    x = 34,956,258.83/6,741
  6. Step 6: Final answer
    x = 5,185.62

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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.