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Finding the Fourth Proportional to 6,596.20, 9,899.70 and 2,703.52

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Solution

The fourth proportional to 6,596.20, 9,899.70 and 2,703.52 is: 4,057.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.20 : 9,899.70 = 2,703.52 : x
  2. Step 2: Convert to fraction form
    6,596.20/9,899.70 = 2,703.52/x
  3. Step 3: Cross multiply
    6,596.20x = 9,899.70 × 2,703.52
  4. Step 4: Simplify right side
    6,596.20x = 26,764,036.94
  5. Step 5: Solve for x
    x = 26,764,036.94/6,596.20
  6. Step 6: Final answer
    x = 4,057.49

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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.