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Finding the Fourth Proportional to 5,924.93, 8,170.97 and 5,453.82

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Solution

The fourth proportional to 5,924.93, 8,170.97 and 5,453.82 is: 7,521.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924.93 : 8,170.97 = 5,453.82 : x
  2. Step 2: Convert to fraction form
    5,924.93/8,170.97 = 5,453.82/x
  3. Step 3: Cross multiply
    5,924.93x = 8,170.97 × 5,453.82
  4. Step 4: Simplify right side
    5,924.93x = 44,562,972.34
  5. Step 5: Solve for x
    x = 44,562,972.34/5,924.93
  6. Step 6: Final answer
    x = 7,521.27

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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.