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Finding the Fourth Proportional to 11,896.41, 16,417 and 6,591.22

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Solution

The fourth proportional to 11,896.41, 16,417 and 6,591.22 is: 9,095.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.41 : 16,417 = 6,591.22 : x
  2. Step 2: Convert to fraction form
    11,896.41/16,417 = 6,591.22/x
  3. Step 3: Cross multiply
    11,896.41x = 16,417 × 6,591.22
  4. Step 4: Simplify right side
    11,896.41x = 108,208,058.74
  5. Step 5: Solve for x
    x = 108,208,058.74/11,896.41
  6. Step 6: Final answer
    x = 9,095.86

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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.