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Finding the Fourth Proportional to 6,233.98, 9,352.59 and 2,947

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Solution

The fourth proportional to 6,233.98, 9,352.59 and 2,947 is: 4,421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.98 : 9,352.59 = 2,947 : x
  2. Step 2: Convert to fraction form
    6,233.98/9,352.59 = 2,947/x
  3. Step 3: Cross multiply
    6,233.98x = 9,352.59 × 2,947
  4. Step 4: Simplify right side
    6,233.98x = 27,562,082.73
  5. Step 5: Solve for x
    x = 27,562,082.73/6,233.98
  6. Step 6: Final answer
    x = 4,421.27

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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.