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Finding the Fourth Proportional to 5,596.44, 7,723.26 and 4,196.76

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Solution

The fourth proportional to 5,596.44, 7,723.26 and 4,196.76 is: 5,791.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.44 : 7,723.26 = 4,196.76 : x
  2. Step 2: Convert to fraction form
    5,596.44/7,723.26 = 4,196.76/x
  3. Step 3: Cross multiply
    5,596.44x = 7,723.26 × 4,196.76
  4. Step 4: Simplify right side
    5,596.44x = 32,412,668.64
  5. Step 5: Solve for x
    x = 32,412,668.64/5,596.44
  6. Step 6: Final answer
    x = 5,791.66

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Half scale
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Double scale
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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.