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Finding the Fourth Proportional to 11,305.84, 16,958.58 and 3,097.84

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Solution

The fourth proportional to 11,305.84, 16,958.58 and 3,097.84 is: 4,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.84 : 16,958.58 = 3,097.84 : x
  2. Step 2: Convert to fraction form
    11,305.84/16,958.58 = 3,097.84/x
  3. Step 3: Cross multiply
    11,305.84x = 16,958.58 × 3,097.84
  4. Step 4: Simplify right side
    11,305.84x = 52,534,967.47
  5. Step 5: Solve for x
    x = 52,534,967.47/11,305.84
  6. Step 6: Final answer
    x = 4,646.71

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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.