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Finding the Fourth Proportional to 6,609.35, 9,894.55 and 5,789.22

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Solution

The fourth proportional to 6,609.35, 9,894.55 and 5,789.22 is: 8,666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,609.35 : 9,894.55 = 5,789.22 : x
  2. Step 2: Convert to fraction form
    6,609.35/9,894.55 = 5,789.22/x
  3. Step 3: Cross multiply
    6,609.35x = 9,894.55 × 5,789.22
  4. Step 4: Simplify right side
    6,609.35x = 57,281,753.23
  5. Step 5: Solve for x
    x = 57,281,753.23/6,609.35
  6. Step 6: Final answer
    x = 8,666.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.