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Finding the Fourth Proportional to 6,613.67, 9,917.61 and 4,757.03

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Solution

The fourth proportional to 6,613.67, 9,917.61 and 4,757.03 is: 7,133.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.67 : 9,917.61 = 4,757.03 : x
  2. Step 2: Convert to fraction form
    6,613.67/9,917.61 = 4,757.03/x
  3. Step 3: Cross multiply
    6,613.67x = 9,917.61 × 4,757.03
  4. Step 4: Simplify right side
    6,613.67x = 47,178,368.30
  5. Step 5: Solve for x
    x = 47,178,368.30/6,613.67
  6. Step 6: Final answer
    x = 7,133.46

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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.