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Finding the Fourth Proportional to 4,641.96, 6,945.36 and 2,863.44

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Solution

The fourth proportional to 4,641.96, 6,945.36 and 2,863.44 is: 4,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.96 : 6,945.36 = 2,863.44 : x
  2. Step 2: Convert to fraction form
    4,641.96/6,945.36 = 2,863.44/x
  3. Step 3: Cross multiply
    4,641.96x = 6,945.36 × 2,863.44
  4. Step 4: Simplify right side
    4,641.96x = 19,887,621.64
  5. Step 5: Solve for x
    x = 19,887,621.64/4,641.96
  6. Step 6: Final answer
    x = 4,284.32

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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.