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Finding the Fourth Proportional to 9,996.57, 13,794.78 and 5,744.63

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Solution

The fourth proportional to 9,996.57, 13,794.78 and 5,744.63 is: 7,927.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.57 : 13,794.78 = 5,744.63 : x
  2. Step 2: Convert to fraction form
    9,996.57/13,794.78 = 5,744.63/x
  3. Step 3: Cross multiply
    9,996.57x = 13,794.78 × 5,744.63
  4. Step 4: Simplify right side
    9,996.57x = 79,245,838.06
  5. Step 5: Solve for x
    x = 79,245,838.06/9,996.57
  6. Step 6: Final answer
    x = 7,927.30

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Half scale
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Double scale
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Similar ratio
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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.