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Finding the Fourth Proportional to 9,353.93, 12,904.65 and 5,996.12

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Solution

The fourth proportional to 9,353.93, 12,904.65 and 5,996.12 is: 8,272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.93 : 12,904.65 = 5,996.12 : x
  2. Step 2: Convert to fraction form
    9,353.93/12,904.65 = 5,996.12/x
  3. Step 3: Cross multiply
    9,353.93x = 12,904.65 × 5,996.12
  4. Step 4: Simplify right side
    9,353.93x = 77,377,765.43
  5. Step 5: Solve for x
    x = 77,377,765.43/9,353.93
  6. Step 6: Final answer
    x = 8,272.22

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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.