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Finding the Fourth Proportional to 7,165.98, 10,744.92 and 2,234.16

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Solution

The fourth proportional to 7,165.98, 10,744.92 and 2,234.16 is: 3,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.98 : 10,744.92 = 2,234.16 : x
  2. Step 2: Convert to fraction form
    7,165.98/10,744.92 = 2,234.16/x
  3. Step 3: Cross multiply
    7,165.98x = 10,744.92 × 2,234.16
  4. Step 4: Simplify right side
    7,165.98x = 24,005,870.47
  5. Step 5: Solve for x
    x = 24,005,870.47/7,165.98
  6. Step 6: Final answer
    x = 3,349.98

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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.