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Finding the Fourth Proportional to 6,350.50, 9,527.28 and 1,967.68

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Solution

The fourth proportional to 6,350.50, 9,527.28 and 1,967.68 is: 2,951.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350.50 : 9,527.28 = 1,967.68 : x
  2. Step 2: Convert to fraction form
    6,350.50/9,527.28 = 1,967.68/x
  3. Step 3: Cross multiply
    6,350.50x = 9,527.28 × 1,967.68
  4. Step 4: Simplify right side
    6,350.50x = 18,746,638.31
  5. Step 5: Solve for x
    x = 18,746,638.31/6,350.50
  6. Step 6: Final answer
    x = 2,951.99

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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.