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Finding the Fourth Proportional to 6,395.66, 9,584.76 and 4,834.38

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Solution

The fourth proportional to 6,395.66, 9,584.76 and 4,834.38 is: 7,244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.66 : 9,584.76 = 4,834.38 : x
  2. Step 2: Convert to fraction form
    6,395.66/9,584.76 = 4,834.38/x
  3. Step 3: Cross multiply
    6,395.66x = 9,584.76 × 4,834.38
  4. Step 4: Simplify right side
    6,395.66x = 46,336,372.05
  5. Step 5: Solve for x
    x = 46,336,372.05/6,395.66
  6. Step 6: Final answer
    x = 7,244.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.