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Finding the Fourth Proportional to 9,863.80, 13,591.02 and 7,626.04

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Solution

The fourth proportional to 9,863.80, 13,591.02 and 7,626.04 is: 10,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.80 : 13,591.02 = 7,626.04 : x
  2. Step 2: Convert to fraction form
    9,863.80/13,591.02 = 7,626.04/x
  3. Step 3: Cross multiply
    9,863.80x = 13,591.02 × 7,626.04
  4. Step 4: Simplify right side
    9,863.80x = 103,645,662.16
  5. Step 5: Solve for x
    x = 103,645,662.16/9,863.80
  6. Step 6: Final answer
    x = 10,507.68

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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.