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Finding the Fourth Proportional to 11,663.86, 17,495.97 and 6,502.54

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Solution

The fourth proportional to 11,663.86, 17,495.97 and 6,502.54 is: 9,753.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.86 : 17,495.97 = 6,502.54 : x
  2. Step 2: Convert to fraction form
    11,663.86/17,495.97 = 6,502.54/x
  3. Step 3: Cross multiply
    11,663.86x = 17,495.97 × 6,502.54
  4. Step 4: Simplify right side
    11,663.86x = 113,768,244.76
  5. Step 5: Solve for x
    x = 113,768,244.76/11,663.86
  6. Step 6: Final answer
    x = 9,753.91

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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.