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Finding the Fourth Proportional to 10,965.01, 16,418.88 and 7,204.97

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Solution

The fourth proportional to 10,965.01, 16,418.88 and 7,204.97 is: 10,788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.01 : 16,418.88 = 7,204.97 : x
  2. Step 2: Convert to fraction form
    10,965.01/16,418.88 = 7,204.97/x
  3. Step 3: Cross multiply
    10,965.01x = 16,418.88 × 7,204.97
  4. Step 4: Simplify right side
    10,965.01x = 118,297,473.75
  5. Step 5: Solve for x
    x = 118,297,473.75/10,965.01
  6. Step 6: Final answer
    x = 10,788.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.