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Finding the Fourth Proportional to 7,796.96, 10,771.19 and 6,747.20

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Solution

The fourth proportional to 7,796.96, 10,771.19 and 6,747.20 is: 9,320.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.96 : 10,771.19 = 6,747.20 : x
  2. Step 2: Convert to fraction form
    7,796.96/10,771.19 = 6,747.20/x
  3. Step 3: Cross multiply
    7,796.96x = 10,771.19 × 6,747.20
  4. Step 4: Simplify right side
    7,796.96x = 72,675,373.17
  5. Step 5: Solve for x
    x = 72,675,373.17/7,796.96
  6. Step 6: Final answer
    x = 9,320.99

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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.