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Finding the Fourth Proportional to 12,794.93, 17,660.81 and 8,082.35

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Solution

The fourth proportional to 12,794.93, 17,660.81 and 8,082.35 is: 11,156.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.93 : 17,660.81 = 8,082.35 : x
  2. Step 2: Convert to fraction form
    12,794.93/17,660.81 = 8,082.35/x
  3. Step 3: Cross multiply
    12,794.93x = 17,660.81 × 8,082.35
  4. Step 4: Simplify right side
    12,794.93x = 142,740,807.29
  5. Step 5: Solve for x
    x = 142,740,807.29/12,794.93
  6. Step 6: Final answer
    x = 11,156.04

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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.