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Finding the Fourth Proportional to 6,532.64, 9,800.04 and 3,026.15

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Solution

The fourth proportional to 6,532.64, 9,800.04 and 3,026.15 is: 4,539.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.64 : 9,800.04 = 3,026.15 : x
  2. Step 2: Convert to fraction form
    6,532.64/9,800.04 = 3,026.15/x
  3. Step 3: Cross multiply
    6,532.64x = 9,800.04 × 3,026.15
  4. Step 4: Simplify right side
    6,532.64x = 29,656,391.05
  5. Step 5: Solve for x
    x = 29,656,391.05/6,532.64
  6. Step 6: Final answer
    x = 4,539.73

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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.