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Finding the Fourth Proportional to 7,301.98, 10,950.09 and 3,142.30

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Solution

The fourth proportional to 7,301.98, 10,950.09 and 3,142.30 is: 4,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.98 : 10,950.09 = 3,142.30 : x
  2. Step 2: Convert to fraction form
    7,301.98/10,950.09 = 3,142.30/x
  3. Step 3: Cross multiply
    7,301.98x = 10,950.09 × 3,142.30
  4. Step 4: Simplify right side
    7,301.98x = 34,408,428.65
  5. Step 5: Solve for x
    x = 34,408,428.65/7,301.98
  6. Step 6: Final answer
    x = 4,712.21

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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.