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Finding the Fourth Proportional to 5,996.40, 8,275.07 and 3,343.98

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Solution

The fourth proportional to 5,996.40, 8,275.07 and 3,343.98 is: 4,614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.40 : 8,275.07 = 3,343.98 : x
  2. Step 2: Convert to fraction form
    5,996.40/8,275.07 = 3,343.98/x
  3. Step 3: Cross multiply
    5,996.40x = 8,275.07 × 3,343.98
  4. Step 4: Simplify right side
    5,996.40x = 27,671,668.58
  5. Step 5: Solve for x
    x = 27,671,668.58/5,996.40
  6. Step 6: Final answer
    x = 4,614.71

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Half 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.