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Finding the Fourth Proportional to 6,357.33, 9,532.13 and 2,846.68

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Solution

The fourth proportional to 6,357.33, 9,532.13 and 2,846.68 is: 4,268.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.33 : 9,532.13 = 2,846.68 : x
  2. Step 2: Convert to fraction form
    6,357.33/9,532.13 = 2,846.68/x
  3. Step 3: Cross multiply
    6,357.33x = 9,532.13 × 2,846.68
  4. Step 4: Simplify right side
    6,357.33x = 27,134,909.60
  5. Step 5: Solve for x
    x = 27,134,909.60/6,357.33
  6. Step 6: Final answer
    x = 4,268.29

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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.