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Finding the Fourth Proportional to 6,047.56, 9,073.67 and 2,352.40

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Solution

The fourth proportional to 6,047.56, 9,073.67 and 2,352.40 is: 3,529.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.56 : 9,073.67 = 2,352.40 : x
  2. Step 2: Convert to fraction form
    6,047.56/9,073.67 = 2,352.40/x
  3. Step 3: Cross multiply
    6,047.56x = 9,073.67 × 2,352.40
  4. Step 4: Simplify right side
    6,047.56x = 21,344,901.31
  5. Step 5: Solve for x
    x = 21,344,901.31/6,047.56
  6. Step 6: Final answer
    x = 3,529.51

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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.