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Finding the Fourth Proportional to 8,564.09, 11,824.09 and 5,735.09

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Solution

The fourth proportional to 8,564.09, 11,824.09 and 5,735.09 is: 7,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.09 : 11,824.09 = 5,735.09 : x
  2. Step 2: Convert to fraction form
    8,564.09/11,824.09 = 5,735.09/x
  3. Step 3: Cross multiply
    8,564.09x = 11,824.09 × 5,735.09
  4. Step 4: Simplify right side
    8,564.09x = 67,812,191.64
  5. Step 5: Solve for x
    x = 67,812,191.64/8,564.09
  6. Step 6: Final answer
    x = 7,918.20

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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.