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Finding the Fourth Proportional to 6,230.50, 9,349.80 and 3,152.50

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Solution

The fourth proportional to 6,230.50, 9,349.80 and 3,152.50 is: 4,730.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.50 : 9,349.80 = 3,152.50 : x
  2. Step 2: Convert to fraction form
    6,230.50/9,349.80 = 3,152.50/x
  3. Step 3: Cross multiply
    6,230.50x = 9,349.80 × 3,152.50
  4. Step 4: Simplify right side
    6,230.50x = 29,475,244.50
  5. Step 5: Solve for x
    x = 29,475,244.50/6,230.50
  6. Step 6: Final answer
    x = 4,730.80

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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.