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Finding the Fourth Proportional to 7,649.03, 11,473.47 and 2,454.90

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Solution

The fourth proportional to 7,649.03, 11,473.47 and 2,454.90 is: 3,682.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.03 : 11,473.47 = 2,454.90 : x
  2. Step 2: Convert to fraction form
    7,649.03/11,473.47 = 2,454.90/x
  3. Step 3: Cross multiply
    7,649.03x = 11,473.47 × 2,454.90
  4. Step 4: Simplify right side
    7,649.03x = 28,166,221.50
  5. Step 5: Solve for x
    x = 28,166,221.50/7,649.03
  6. Step 6: Final answer
    x = 3,682.33

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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.