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Finding the Fourth Proportional to 16,663.96, 22,995.66 and 11,071

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Solution

The fourth proportional to 16,663.96, 22,995.66 and 11,071 is: 15,277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,663.96 : 22,995.66 = 11,071 : x
  2. Step 2: Convert to fraction form
    16,663.96/22,995.66 = 11,071/x
  3. Step 3: Cross multiply
    16,663.96x = 22,995.66 × 11,071
  4. Step 4: Simplify right side
    16,663.96x = 254,584,951.86
  5. Step 5: Solve for x
    x = 254,584,951.86/16,663.96
  6. Step 6: Final answer
    x = 15,277.58

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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.