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Finding the Fourth Proportional to 11,767.12, 16,242.08 and 6,734.20

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Solution

The fourth proportional to 11,767.12, 16,242.08 and 6,734.20 is: 9,295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.12 : 16,242.08 = 6,734.20 : x
  2. Step 2: Convert to fraction form
    11,767.12/16,242.08 = 6,734.20/x
  3. Step 3: Cross multiply
    11,767.12x = 16,242.08 × 6,734.20
  4. Step 4: Simplify right side
    11,767.12x = 109,377,415.14
  5. Step 5: Solve for x
    x = 109,377,415.14/11,767.12
  6. Step 6: Final answer
    x = 9,295.17

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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.