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Finding the Fourth Proportional to 8,814.65, 13,222.02 and 2,971.31

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Solution

The fourth proportional to 8,814.65, 13,222.02 and 2,971.31 is: 4,456.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814.65 : 13,222.02 = 2,971.31 : x
  2. Step 2: Convert to fraction form
    8,814.65/13,222.02 = 2,971.31/x
  3. Step 3: Cross multiply
    8,814.65x = 13,222.02 × 2,971.31
  4. Step 4: Simplify right side
    8,814.65x = 39,286,753.30
  5. Step 5: Solve for x
    x = 39,286,753.30/8,814.65
  6. Step 6: Final answer
    x = 4,456.98

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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.