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Finding the Fourth Proportional to 4,965.36, 7,391.82 and 4,896.24

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Solution

The fourth proportional to 4,965.36, 7,391.82 and 4,896.24 is: 7,288.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.36 : 7,391.82 = 4,896.24 : x
  2. Step 2: Convert to fraction form
    4,965.36/7,391.82 = 4,896.24/x
  3. Step 3: Cross multiply
    4,965.36x = 7,391.82 × 4,896.24
  4. Step 4: Simplify right side
    4,965.36x = 36,192,124.76
  5. Step 5: Solve for x
    x = 36,192,124.76/4,965.36
  6. Step 6: Final answer
    x = 7,288.92

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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.