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Finding the Fourth Proportional to 5,647.59, 8,472.20 and 1,898.24

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Solution

The fourth proportional to 5,647.59, 8,472.20 and 1,898.24 is: 2,847.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.59 : 8,472.20 = 1,898.24 : x
  2. Step 2: Convert to fraction form
    5,647.59/8,472.20 = 1,898.24/x
  3. Step 3: Cross multiply
    5,647.59x = 8,472.20 × 1,898.24
  4. Step 4: Simplify right side
    5,647.59x = 16,082,217.08
  5. Step 5: Solve for x
    x = 16,082,217.08/5,647.59
  6. Step 6: Final answer
    x = 2,847.62

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1.5x scale

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.