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Finding the Fourth Proportional to 8,657.96, 12,974.62 and 6,701

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Solution

The fourth proportional to 8,657.96, 12,974.62 and 6,701 is: 10,041.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.96 : 12,974.62 = 6,701 : x
  2. Step 2: Convert to fraction form
    8,657.96/12,974.62 = 6,701/x
  3. Step 3: Cross multiply
    8,657.96x = 12,974.62 × 6,701
  4. Step 4: Simplify right side
    8,657.96x = 86,942,928.62
  5. Step 5: Solve for x
    x = 86,942,928.62/8,657.96
  6. Step 6: Final answer
    x = 10,041.96

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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.