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Finding the Fourth Proportional to 6,333.06, 9,500.20 and 1,653.15

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Solution

The fourth proportional to 6,333.06, 9,500.20 and 1,653.15 is: 2,479.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.06 : 9,500.20 = 1,653.15 : x
  2. Step 2: Convert to fraction form
    6,333.06/9,500.20 = 1,653.15/x
  3. Step 3: Cross multiply
    6,333.06x = 9,500.20 × 1,653.15
  4. Step 4: Simplify right side
    6,333.06x = 15,705,251.50
  5. Step 5: Solve for x
    x = 15,705,251.50/6,333.06
  6. Step 6: Final answer
    x = 2,479.88

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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.