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Finding the Fourth Proportional to 6,475.22, 9,668.90 and 5,144.03

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Solution

The fourth proportional to 6,475.22, 9,668.90 and 5,144.03 is: 7,681.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.22 : 9,668.90 = 5,144.03 : x
  2. Step 2: Convert to fraction form
    6,475.22/9,668.90 = 5,144.03/x
  3. Step 3: Cross multiply
    6,475.22x = 9,668.90 × 5,144.03
  4. Step 4: Simplify right side
    6,475.22x = 49,737,037.60
  5. Step 5: Solve for x
    x = 49,737,037.60/6,475.22
  6. Step 6: Final answer
    x = 7,681.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.