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Finding the Fourth Proportional to 7,644.04, 11,466.22 and 2,449.90

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Solution

The fourth proportional to 7,644.04, 11,466.22 and 2,449.90 is: 3,674.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.04 : 11,466.22 = 2,449.90 : x
  2. Step 2: Convert to fraction form
    7,644.04/11,466.22 = 2,449.90/x
  3. Step 3: Cross multiply
    7,644.04x = 11,466.22 × 2,449.90
  4. Step 4: Simplify right side
    7,644.04x = 28,091,092.38
  5. Step 5: Solve for x
    x = 28,091,092.38/7,644.04
  6. Step 6: Final answer
    x = 3,674.90

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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.