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Finding the Fourth Proportional to 11,649.73, 16,077 and 6,614.17

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Solution

The fourth proportional to 11,649.73, 16,077 and 6,614.17 is: 9,127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.73 : 16,077 = 6,614.17 : x
  2. Step 2: Convert to fraction form
    11,649.73/16,077 = 6,614.17/x
  3. Step 3: Cross multiply
    11,649.73x = 16,077 × 6,614.17
  4. Step 4: Simplify right side
    11,649.73x = 106,336,011.09
  5. Step 5: Solve for x
    x = 106,336,011.09/11,649.73
  6. Step 6: Final answer
    x = 9,127.77

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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.