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Finding the Fourth Proportional to 13,674.66, 18,872.36 and 8,009.04

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Solution

The fourth proportional to 13,674.66, 18,872.36 and 8,009.04 is: 11,053.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.66 : 18,872.36 = 8,009.04 : x
  2. Step 2: Convert to fraction form
    13,674.66/18,872.36 = 8,009.04/x
  3. Step 3: Cross multiply
    13,674.66x = 18,872.36 × 8,009.04
  4. Step 4: Simplify right side
    13,674.66x = 151,149,486.13
  5. Step 5: Solve for x
    x = 151,149,486.13/13,674.66
  6. Step 6: Final answer
    x = 11,053.25

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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.