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Finding the Fourth Proportional to 5,252.72, 7,838.10 and 4,786.97

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Solution

The fourth proportional to 5,252.72, 7,838.10 and 4,786.97 is: 7,143.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.72 : 7,838.10 = 4,786.97 : x
  2. Step 2: Convert to fraction form
    5,252.72/7,838.10 = 4,786.97/x
  3. Step 3: Cross multiply
    5,252.72x = 7,838.10 × 4,786.97
  4. Step 4: Simplify right side
    5,252.72x = 37,520,710.37
  5. Step 5: Solve for x
    x = 37,520,710.37/5,252.72
  6. Step 6: Final answer
    x = 7,143.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.