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Finding the Fourth Proportional to 7,206.64, 9,941.38 and 5,863.75

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Solution

The fourth proportional to 7,206.64, 9,941.38 and 5,863.75 is: 8,088.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.64 : 9,941.38 = 5,863.75 : x
  2. Step 2: Convert to fraction form
    7,206.64/9,941.38 = 5,863.75/x
  3. Step 3: Cross multiply
    7,206.64x = 9,941.38 × 5,863.75
  4. Step 4: Simplify right side
    7,206.64x = 58,293,816.37
  5. Step 5: Solve for x
    x = 58,293,816.37/7,206.64
  6. Step 6: Final answer
    x = 8,088.90

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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.