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Finding the Fourth Proportional to 11,663.88, 17,496 and 6,502.56

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Solution

The fourth proportional to 11,663.88, 17,496 and 6,502.56 is: 9,753.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.88 : 17,496 = 6,502.56 : x
  2. Step 2: Convert to fraction form
    11,663.88/17,496 = 6,502.56/x
  3. Step 3: Cross multiply
    11,663.88x = 17,496 × 6,502.56
  4. Step 4: Simplify right side
    11,663.88x = 113,768,789.76
  5. Step 5: Solve for x
    x = 113,768,789.76/11,663.88
  6. Step 6: Final answer
    x = 9,753.94

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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.