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Finding the Fourth Proportional to 10,900.13, 16,352.63 and 3,974.63

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Solution

The fourth proportional to 10,900.13, 16,352.63 and 3,974.63 is: 5,962.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.13 : 16,352.63 = 3,974.63 : x
  2. Step 2: Convert to fraction form
    10,900.13/16,352.63 = 3,974.63/x
  3. Step 3: Cross multiply
    10,900.13x = 16,352.63 × 3,974.63
  4. Step 4: Simplify right side
    10,900.13x = 64,995,552.14
  5. Step 5: Solve for x
    x = 64,995,552.14/10,900.13
  6. Step 6: Final answer
    x = 5,962.83

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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.