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Finding the Fourth Proportional to 11,774.77, 17,668.20 and 6,508.79

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Solution

The fourth proportional to 11,774.77, 17,668.20 and 6,508.79 is: 9,766.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.77 : 17,668.20 = 6,508.79 : x
  2. Step 2: Convert to fraction form
    11,774.77/17,668.20 = 6,508.79/x
  3. Step 3: Cross multiply
    11,774.77x = 17,668.20 × 6,508.79
  4. Step 4: Simplify right side
    11,774.77x = 114,998,603.48
  5. Step 5: Solve for x
    x = 114,998,603.48/11,774.77
  6. Step 6: Final answer
    x = 9,766.53

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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.