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Finding the Fourth Proportional to 10,570.98, 15,855.10 and 3,996.31

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Solution

The fourth proportional to 10,570.98, 15,855.10 and 3,996.31 is: 5,993.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.98 : 15,855.10 = 3,996.31 : x
  2. Step 2: Convert to fraction form
    10,570.98/15,855.10 = 3,996.31/x
  3. Step 3: Cross multiply
    10,570.98x = 15,855.10 × 3,996.31
  4. Step 4: Simplify right side
    10,570.98x = 63,361,894.68
  5. Step 5: Solve for x
    x = 63,361,894.68/10,570.98
  6. Step 6: Final answer
    x = 5,993.95

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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.