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Finding the Fourth Proportional to 8,609.84, 11,884.10 and 5,626.16

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Solution

The fourth proportional to 8,609.84, 11,884.10 and 5,626.16 is: 7,765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.84 : 11,884.10 = 5,626.16 : x
  2. Step 2: Convert to fraction form
    8,609.84/11,884.10 = 5,626.16/x
  3. Step 3: Cross multiply
    8,609.84x = 11,884.10 × 5,626.16
  4. Step 4: Simplify right side
    8,609.84x = 66,861,848.06
  5. Step 5: Solve for x
    x = 66,861,848.06/8,609.84
  6. Step 6: Final answer
    x = 7,765.75

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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.