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Finding the Fourth Proportional to 11,663.65, 16,101.23 and 6,881.96

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Solution

The fourth proportional to 11,663.65, 16,101.23 and 6,881.96 is: 9,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.65 : 16,101.23 = 6,881.96 : x
  2. Step 2: Convert to fraction form
    11,663.65/16,101.23 = 6,881.96/x
  3. Step 3: Cross multiply
    11,663.65x = 16,101.23 × 6,881.96
  4. Step 4: Simplify right side
    11,663.65x = 110,807,986.40
  5. Step 5: Solve for x
    x = 110,807,986.40/11,663.65
  6. Step 6: Final answer
    x = 9,500.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.