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Finding the Fourth Proportional to 4,613.91, 6,921.78 and 1,692.24

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Solution

The fourth proportional to 4,613.91, 6,921.78 and 1,692.24 is: 2,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.91 : 6,921.78 = 1,692.24 : x
  2. Step 2: Convert to fraction form
    4,613.91/6,921.78 = 1,692.24/x
  3. Step 3: Cross multiply
    4,613.91x = 6,921.78 × 1,692.24
  4. Step 4: Simplify right side
    4,613.91x = 11,713,350.19
  5. Step 5: Solve for x
    x = 11,713,350.19/4,613.91
  6. Step 6: Final answer
    x = 2,538.70

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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.