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Finding the Fourth Proportional to 11,876.82, 16,390.13 and 6,572.13

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Solution

The fourth proportional to 11,876.82, 16,390.13 and 6,572.13 is: 9,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.82 : 16,390.13 = 6,572.13 : x
  2. Step 2: Convert to fraction form
    11,876.82/16,390.13 = 6,572.13/x
  3. Step 3: Cross multiply
    11,876.82x = 16,390.13 × 6,572.13
  4. Step 4: Simplify right side
    11,876.82x = 107,718,032.22
  5. Step 5: Solve for x
    x = 107,718,032.22/11,876.82
  6. Step 6: Final answer
    x = 9,069.60

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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.