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Finding the Fourth Proportional to 7,983.82, 11,014.21 and 5,594.23

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Solution

The fourth proportional to 7,983.82, 11,014.21 and 5,594.23 is: 7,717.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.82 : 11,014.21 = 5,594.23 : x
  2. Step 2: Convert to fraction form
    7,983.82/11,014.21 = 5,594.23/x
  3. Step 3: Cross multiply
    7,983.82x = 11,014.21 × 5,594.23
  4. Step 4: Simplify right side
    7,983.82x = 61,616,024.01
  5. Step 5: Solve for x
    x = 61,616,024.01/7,983.82
  6. Step 6: Final answer
    x = 7,717.61

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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.