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Finding the Fourth Proportional to 4,952.54, 6,834.63 and 3,064.23

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Solution

The fourth proportional to 4,952.54, 6,834.63 and 3,064.23 is: 4,228.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.54 : 6,834.63 = 3,064.23 : x
  2. Step 2: Convert to fraction form
    4,952.54/6,834.63 = 3,064.23/x
  3. Step 3: Cross multiply
    4,952.54x = 6,834.63 × 3,064.23
  4. Step 4: Simplify right side
    4,952.54x = 20,942,872.54
  5. Step 5: Solve for x
    x = 20,942,872.54/4,952.54
  6. Step 6: Final answer
    x = 4,228.71

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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.