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Finding the Fourth Proportional to 6,073.92, 9,107.73 and 2,952

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Solution

The fourth proportional to 6,073.92, 9,107.73 and 2,952 is: 4,426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,073.92 : 9,107.73 = 2,952 : x
  2. Step 2: Convert to fraction form
    6,073.92/9,107.73 = 2,952/x
  3. Step 3: Cross multiply
    6,073.92x = 9,107.73 × 2,952
  4. Step 4: Simplify right side
    6,073.92x = 26,886,018.96
  5. Step 5: Solve for x
    x = 26,886,018.96/6,073.92
  6. Step 6: Final answer
    x = 4,426.47

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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.