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Finding the Fourth Proportional to 6,528.52, 9,793.10 and 2,086.68

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Solution

The fourth proportional to 6,528.52, 9,793.10 and 2,086.68 is: 3,130.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.52 : 9,793.10 = 2,086.68 : x
  2. Step 2: Convert to fraction form
    6,528.52/9,793.10 = 2,086.68/x
  3. Step 3: Cross multiply
    6,528.52x = 9,793.10 × 2,086.68
  4. Step 4: Simplify right side
    6,528.52x = 20,435,065.91
  5. Step 5: Solve for x
    x = 20,435,065.91/6,528.52
  6. Step 6: Final answer
    x = 3,130.12

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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.