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Finding the Fourth Proportional to 4,489.68, 6,734.58 and 1,567.32

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Solution

The fourth proportional to 4,489.68, 6,734.58 and 1,567.32 is: 2,351.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.68 : 6,734.58 = 1,567.32 : x
  2. Step 2: Convert to fraction form
    4,489.68/6,734.58 = 1,567.32/x
  3. Step 3: Cross multiply
    4,489.68x = 6,734.58 × 1,567.32
  4. Step 4: Simplify right side
    4,489.68x = 10,555,241.93
  5. Step 5: Solve for x
    x = 10,555,241.93/4,489.68
  6. Step 6: Final answer
    x = 2,351.00

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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.