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Finding the Fourth Proportional to 10,805.66, 16,204.64 and 6,633.10

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Solution

The fourth proportional to 10,805.66, 16,204.64 and 6,633.10 is: 9,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.66 : 16,204.64 = 6,633.10 : x
  2. Step 2: Convert to fraction form
    10,805.66/16,204.64 = 6,633.10/x
  3. Step 3: Cross multiply
    10,805.66x = 16,204.64 × 6,633.10
  4. Step 4: Simplify right side
    10,805.66x = 107,487,072.76
  5. Step 5: Solve for x
    x = 107,487,072.76/10,805.66
  6. Step 6: Final answer
    x = 9,947.29

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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.