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Finding the Fourth Proportional to 4,655.52, 6,982.20 and 1,367.73

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Solution

The fourth proportional to 4,655.52, 6,982.20 and 1,367.73 is: 2,051.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.52 : 6,982.20 = 1,367.73 : x
  2. Step 2: Convert to fraction form
    4,655.52/6,982.20 = 1,367.73/x
  3. Step 3: Cross multiply
    4,655.52x = 6,982.20 × 1,367.73
  4. Step 4: Simplify right side
    4,655.52x = 9,549,764.41
  5. Step 5: Solve for x
    x = 9,549,764.41/4,655.52
  6. Step 6: Final answer
    x = 2,051.28

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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.