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Finding the Fourth Proportional to 11,602.26, 16,014.93 and 6,821.97

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Solution

The fourth proportional to 11,602.26, 16,014.93 and 6,821.97 is: 9,416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.26 : 16,014.93 = 6,821.97 : x
  2. Step 2: Convert to fraction form
    11,602.26/16,014.93 = 6,821.97/x
  3. Step 3: Cross multiply
    11,602.26x = 16,014.93 × 6,821.97
  4. Step 4: Simplify right side
    11,602.26x = 109,253,372.01
  5. Step 5: Solve for x
    x = 109,253,372.01/11,602.26
  6. Step 6: Final answer
    x = 9,416.56

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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.