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Finding the Fourth Proportional to 6,863.94, 9,472.98 and 3,840.16

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Solution

The fourth proportional to 6,863.94, 9,472.98 and 3,840.16 is: 5,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.94 : 9,472.98 = 3,840.16 : x
  2. Step 2: Convert to fraction form
    6,863.94/9,472.98 = 3,840.16/x
  3. Step 3: Cross multiply
    6,863.94x = 9,472.98 × 3,840.16
  4. Step 4: Simplify right side
    6,863.94x = 36,377,711.51
  5. Step 5: Solve for x
    x = 36,377,711.51/6,863.94
  6. Step 6: Final answer
    x = 5,299.83

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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.