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Finding the Fourth Proportional to 8,308.66, 11,465.42 and 4,769.38

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Solution

The fourth proportional to 8,308.66, 11,465.42 and 4,769.38 is: 6,581.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.66 : 11,465.42 = 4,769.38 : x
  2. Step 2: Convert to fraction form
    8,308.66/11,465.42 = 4,769.38/x
  3. Step 3: Cross multiply
    8,308.66x = 11,465.42 × 4,769.38
  4. Step 4: Simplify right side
    8,308.66x = 54,682,944.84
  5. Step 5: Solve for x
    x = 54,682,944.84/8,308.66
  6. Step 6: Final answer
    x = 6,581.44

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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.