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Finding the Fourth Proportional to 11,773.77, 17,652.09 and 5,530.57

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Solution

The fourth proportional to 11,773.77, 17,652.09 and 5,530.57 is: 8,291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.77 : 17,652.09 = 5,530.57 : x
  2. Step 2: Convert to fraction form
    11,773.77/17,652.09 = 5,530.57/x
  3. Step 3: Cross multiply
    11,773.77x = 17,652.09 × 5,530.57
  4. Step 4: Simplify right side
    11,773.77x = 97,626,119.39
  5. Step 5: Solve for x
    x = 97,626,119.39/11,773.77
  6. Step 6: Final answer
    x = 8,291.83

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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.