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Finding the Fourth Proportional to 6,312, 9,469.22 and 2,849.26

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Solution

The fourth proportional to 6,312, 9,469.22 and 2,849.26 is: 4,274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312 : 9,469.22 = 2,849.26 : x
  2. Step 2: Convert to fraction form
    6,312/9,469.22 = 2,849.26/x
  3. Step 3: Cross multiply
    6,312x = 9,469.22 × 2,849.26
  4. Step 4: Simplify right side
    6,312x = 26,980,269.78
  5. Step 5: Solve for x
    x = 26,980,269.78/6,312
  6. Step 6: Final answer
    x = 4,274.44

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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.