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Finding the Fourth Proportional to 9,392.49, 12,961.83 and 5,807.97

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Solution

The fourth proportional to 9,392.49, 12,961.83 and 5,807.97 is: 8,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.49 : 12,961.83 = 5,807.97 : x
  2. Step 2: Convert to fraction form
    9,392.49/12,961.83 = 5,807.97/x
  3. Step 3: Cross multiply
    9,392.49x = 12,961.83 × 5,807.97
  4. Step 4: Simplify right side
    9,392.49x = 75,281,919.79
  5. Step 5: Solve for x
    x = 75,281,919.79/9,392.49
  6. Step 6: Final answer
    x = 8,015.12

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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.