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Finding the Fourth Proportional to 6,313.98, 9,472.03 and 1,930.41

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Solution

The fourth proportional to 6,313.98, 9,472.03 and 1,930.41 is: 2,895.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.98 : 9,472.03 = 1,930.41 : x
  2. Step 2: Convert to fraction form
    6,313.98/9,472.03 = 1,930.41/x
  3. Step 3: Cross multiply
    6,313.98x = 9,472.03 × 1,930.41
  4. Step 4: Simplify right side
    6,313.98x = 18,284,891.78
  5. Step 5: Solve for x
    x = 18,284,891.78/6,313.98
  6. Step 6: Final answer
    x = 2,895.94

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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.