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Finding the Fourth Proportional to 6,232.33, 9,348.51 and 1,552.33

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Solution

The fourth proportional to 6,232.33, 9,348.51 and 1,552.33 is: 2,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.33 : 9,348.51 = 1,552.33 : x
  2. Step 2: Convert to fraction form
    6,232.33/9,348.51 = 1,552.33/x
  3. Step 3: Cross multiply
    6,232.33x = 9,348.51 × 1,552.33
  4. Step 4: Simplify right side
    6,232.33x = 14,511,990.04
  5. Step 5: Solve for x
    x = 14,511,990.04/6,232.33
  6. Step 6: Final answer
    x = 2,328.50

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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.