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Finding the Fourth Proportional to 8,971.69, 13,458.14 and 3,049.17

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Solution

The fourth proportional to 8,971.69, 13,458.14 and 3,049.17 is: 4,573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.69 : 13,458.14 = 3,049.17 : x
  2. Step 2: Convert to fraction form
    8,971.69/13,458.14 = 3,049.17/x
  3. Step 3: Cross multiply
    8,971.69x = 13,458.14 × 3,049.17
  4. Step 4: Simplify right side
    8,971.69x = 41,036,156.74
  5. Step 5: Solve for x
    x = 41,036,156.74/8,971.69
  6. Step 6: Final answer
    x = 4,573.96

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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.