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Finding the Fourth Proportional to 4,662.87, 6,435.23 and 2,567.13

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Solution

The fourth proportional to 4,662.87, 6,435.23 and 2,567.13 is: 3,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.87 : 6,435.23 = 2,567.13 : x
  2. Step 2: Convert to fraction form
    4,662.87/6,435.23 = 2,567.13/x
  3. Step 3: Cross multiply
    4,662.87x = 6,435.23 × 2,567.13
  4. Step 4: Simplify right side
    4,662.87x = 16,520,059.15
  5. Step 5: Solve for x
    x = 16,520,059.15/4,662.87
  6. Step 6: Final answer
    x = 3,542.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.