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Finding the Fourth Proportional to 4,960.77, 6,846.49 and 2,864.49

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Solution

The fourth proportional to 4,960.77, 6,846.49 and 2,864.49 is: 3,953.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960.77 : 6,846.49 = 2,864.49 : x
  2. Step 2: Convert to fraction form
    4,960.77/6,846.49 = 2,864.49/x
  3. Step 3: Cross multiply
    4,960.77x = 6,846.49 × 2,864.49
  4. Step 4: Simplify right side
    4,960.77x = 19,611,702.14
  5. Step 5: Solve for x
    x = 19,611,702.14/4,960.77
  6. Step 6: Final answer
    x = 3,953.36

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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.