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Finding the Fourth Proportional to 8,097.60, 11,158.04 and 6,209.09

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Solution

The fourth proportional to 8,097.60, 11,158.04 and 6,209.09 is: 8,555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.60 : 11,158.04 = 6,209.09 : x
  2. Step 2: Convert to fraction form
    8,097.60/11,158.04 = 6,209.09/x
  3. Step 3: Cross multiply
    8,097.60x = 11,158.04 × 6,209.09
  4. Step 4: Simplify right side
    8,097.60x = 69,281,187.75
  5. Step 5: Solve for x
    x = 69,281,187.75/8,097.60
  6. Step 6: Final answer
    x = 8,555.77

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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.