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Finding the Fourth Proportional to 6,357.42, 9,532.01 and 2,658.66

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Solution

The fourth proportional to 6,357.42, 9,532.01 and 2,658.66 is: 3,986.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.42 : 9,532.01 = 2,658.66 : x
  2. Step 2: Convert to fraction form
    6,357.42/9,532.01 = 2,658.66/x
  3. Step 3: Cross multiply
    6,357.42x = 9,532.01 × 2,658.66
  4. Step 4: Simplify right side
    6,357.42x = 25,342,360.41
  5. Step 5: Solve for x
    x = 25,342,360.41/6,357.42
  6. Step 6: Final answer
    x = 3,986.26

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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.