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Finding the Fourth Proportional to 10,808.66, 16,223.10 and 6,656.77

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Solution

The fourth proportional to 10,808.66, 16,223.10 and 6,656.77 is: 9,991.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.66 : 16,223.10 = 6,656.77 : x
  2. Step 2: Convert to fraction form
    10,808.66/16,223.10 = 6,656.77/x
  3. Step 3: Cross multiply
    10,808.66x = 16,223.10 × 6,656.77
  4. Step 4: Simplify right side
    10,808.66x = 107,993,445.39
  5. Step 5: Solve for x
    x = 107,993,445.39/10,808.66
  6. Step 6: Final answer
    x = 9,991.38

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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.