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Finding the Fourth Proportional to 6,152.50, 9,232.53 and 3,232.90

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Solution

The fourth proportional to 6,152.50, 9,232.53 and 3,232.90 is: 4,851.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.50 : 9,232.53 = 3,232.90 : x
  2. Step 2: Convert to fraction form
    6,152.50/9,232.53 = 3,232.90/x
  3. Step 3: Cross multiply
    6,152.50x = 9,232.53 × 3,232.90
  4. Step 4: Simplify right side
    6,152.50x = 29,847,846.24
  5. Step 5: Solve for x
    x = 29,847,846.24/6,152.50
  6. Step 6: Final answer
    x = 4,851.34

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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.