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Finding the Fourth Proportional to 4,658.56, 6,987.68 and 2,192.56

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Solution

The fourth proportional to 4,658.56, 6,987.68 and 2,192.56 is: 3,288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.56 : 6,987.68 = 2,192.56 : x
  2. Step 2: Convert to fraction form
    4,658.56/6,987.68 = 2,192.56/x
  3. Step 3: Cross multiply
    4,658.56x = 6,987.68 × 2,192.56
  4. Step 4: Simplify right side
    4,658.56x = 15,320,907.66
  5. Step 5: Solve for x
    x = 15,320,907.66/4,658.56
  6. Step 6: Final answer
    x = 3,288.76

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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.