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Finding the Fourth Proportional to 9,165.67, 12,647.78 and 5,186.14

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Solution

The fourth proportional to 9,165.67, 12,647.78 and 5,186.14 is: 7,156.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.67 : 12,647.78 = 5,186.14 : x
  2. Step 2: Convert to fraction form
    9,165.67/12,647.78 = 5,186.14/x
  3. Step 3: Cross multiply
    9,165.67x = 12,647.78 × 5,186.14
  4. Step 4: Simplify right side
    9,165.67x = 65,593,119.67
  5. Step 5: Solve for x
    x = 65,593,119.67/9,165.67
  6. Step 6: Final answer
    x = 7,156.39

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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.