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Finding the Fourth Proportional to 10,670.12, 16,006.12 and 3,649.86

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Solution

The fourth proportional to 10,670.12, 16,006.12 and 3,649.86 is: 5,475.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.12 : 16,006.12 = 3,649.86 : x
  2. Step 2: Convert to fraction form
    10,670.12/16,006.12 = 3,649.86/x
  3. Step 3: Cross multiply
    10,670.12x = 16,006.12 × 3,649.86
  4. Step 4: Simplify right side
    10,670.12x = 58,420,097.14
  5. Step 5: Solve for x
    x = 58,420,097.14/10,670.12
  6. Step 6: Final answer
    x = 5,475.11

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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.