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Finding the Fourth Proportional to 9,863.45, 14,797.94 and 5,695.85

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Solution

The fourth proportional to 9,863.45, 14,797.94 and 5,695.85 is: 8,545.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.45 : 14,797.94 = 5,695.85 : x
  2. Step 2: Convert to fraction form
    9,863.45/14,797.94 = 5,695.85/x
  3. Step 3: Cross multiply
    9,863.45x = 14,797.94 × 5,695.85
  4. Step 4: Simplify right side
    9,863.45x = 84,286,887.10
  5. Step 5: Solve for x
    x = 84,286,887.10/9,863.45
  6. Step 6: Final answer
    x = 8,545.37

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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.