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Finding the Fourth Proportional to 6,898.20, 9,523.74 and 4,249.20

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Solution

The fourth proportional to 6,898.20, 9,523.74 and 4,249.20 is: 5,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.20 : 9,523.74 = 4,249.20 : x
  2. Step 2: Convert to fraction form
    6,898.20/9,523.74 = 4,249.20/x
  3. Step 3: Cross multiply
    6,898.20x = 9,523.74 × 4,249.20
  4. Step 4: Simplify right side
    6,898.20x = 40,468,276.01
  5. Step 5: Solve for x
    x = 40,468,276.01/6,898.20
  6. Step 6: Final answer
    x = 5,866.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.