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Finding the Fourth Proportional to 6,264.96, 9,398.48 and 2,976.27

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Solution

The fourth proportional to 6,264.96, 9,398.48 and 2,976.27 is: 4,464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.96 : 9,398.48 = 2,976.27 : x
  2. Step 2: Convert to fraction form
    6,264.96/9,398.48 = 2,976.27/x
  3. Step 3: Cross multiply
    6,264.96x = 9,398.48 × 2,976.27
  4. Step 4: Simplify right side
    6,264.96x = 27,972,399.19
  5. Step 5: Solve for x
    x = 27,972,399.19/6,264.96
  6. Step 6: Final answer
    x = 4,464.90

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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.