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Finding the Fourth Proportional to 11,508.80, 17,241.12 and 6,563.84

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Solution

The fourth proportional to 11,508.80, 17,241.12 and 6,563.84 is: 9,833.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,508.80 : 17,241.12 = 6,563.84 : x
  2. Step 2: Convert to fraction form
    11,508.80/17,241.12 = 6,563.84/x
  3. Step 3: Cross multiply
    11,508.80x = 17,241.12 × 6,563.84
  4. Step 4: Simplify right side
    11,508.80x = 113,167,953.10
  5. Step 5: Solve for x
    x = 113,167,953.10/11,508.80
  6. Step 6: Final answer
    x = 9,833.17

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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.