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Finding the Fourth Proportional to 11,983.92, 17,959.47 and 7,604.46

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Solution

The fourth proportional to 11,983.92, 17,959.47 and 7,604.46 is: 11,396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,983.92 : 17,959.47 = 7,604.46 : x
  2. Step 2: Convert to fraction form
    11,983.92/17,959.47 = 7,604.46/x
  3. Step 3: Cross multiply
    11,983.92x = 17,959.47 × 7,604.46
  4. Step 4: Simplify right side
    11,983.92x = 136,572,071.24
  5. Step 5: Solve for x
    x = 136,572,071.24/11,983.92
  6. Step 6: Final answer
    x = 11,396.28

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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.