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Finding the Fourth Proportional to 15,383.62, 23,082.66 and 7,984.06

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Solution

The fourth proportional to 15,383.62, 23,082.66 and 7,984.06 is: 11,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,383.62 : 23,082.66 = 7,984.06 : x
  2. Step 2: Convert to fraction form
    15,383.62/23,082.66 = 7,984.06/x
  3. Step 3: Cross multiply
    15,383.62x = 23,082.66 × 7,984.06
  4. Step 4: Simplify right side
    15,383.62x = 184,293,342.40
  5. Step 5: Solve for x
    x = 184,293,342.40/15,383.62
  6. Step 6: Final answer
    x = 11,979.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.