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Finding the Fourth Proportional to 6,841.57, 10,262.36 and 1,647.45

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Solution

The fourth proportional to 6,841.57, 10,262.36 and 1,647.45 is: 2,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.57 : 10,262.36 = 1,647.45 : x
  2. Step 2: Convert to fraction form
    6,841.57/10,262.36 = 1,647.45/x
  3. Step 3: Cross multiply
    6,841.57x = 10,262.36 × 1,647.45
  4. Step 4: Simplify right side
    6,841.57x = 16,906,724.98
  5. Step 5: Solve for x
    x = 16,906,724.98/6,841.57
  6. Step 6: Final answer
    x = 2,471.18

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1.5x scale

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.