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Finding the Fourth Proportional to 6,314.80, 9,472.21 and 1,932.24

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Solution

The fourth proportional to 6,314.80, 9,472.21 and 1,932.24 is: 2,898.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.80 : 9,472.21 = 1,932.24 : x
  2. Step 2: Convert to fraction form
    6,314.80/9,472.21 = 1,932.24/x
  3. Step 3: Cross multiply
    6,314.80x = 9,472.21 × 1,932.24
  4. Step 4: Simplify right side
    6,314.80x = 18,302,583.05
  5. Step 5: Solve for x
    x = 18,302,583.05/6,314.80
  6. Step 6: Final answer
    x = 2,898.36

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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.