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Finding the Fourth Proportional to 7,649.69, 11,470.86 and 2,971.89

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Solution

The fourth proportional to 7,649.69, 11,470.86 and 2,971.89 is: 4,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.69 : 11,470.86 = 2,971.89 : x
  2. Step 2: Convert to fraction form
    7,649.69/11,470.86 = 2,971.89/x
  3. Step 3: Cross multiply
    7,649.69x = 11,470.86 × 2,971.89
  4. Step 4: Simplify right side
    7,649.69x = 34,090,134.13
  5. Step 5: Solve for x
    x = 34,090,134.13/7,649.69
  6. Step 6: Final answer
    x = 4,456.41

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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.