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Finding the Fourth Proportional to 10,997.66, 16,493.01 and 5,800.70

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Solution

The fourth proportional to 10,997.66, 16,493.01 and 5,800.70 is: 8,699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.66 : 16,493.01 = 5,800.70 : x
  2. Step 2: Convert to fraction form
    10,997.66/16,493.01 = 5,800.70/x
  3. Step 3: Cross multiply
    10,997.66x = 16,493.01 × 5,800.70
  4. Step 4: Simplify right side
    10,997.66x = 95,671,003.11
  5. Step 5: Solve for x
    x = 95,671,003.11/10,997.66
  6. Step 6: Final answer
    x = 8,699.21

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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.