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Finding the Fourth Proportional to 19,801, 27,318.65 and 11,297.01

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Solution

The fourth proportional to 19,801, 27,318.65 and 11,297.01 is: 15,586.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,801 : 27,318.65 = 11,297.01 : x
  2. Step 2: Convert to fraction form
    19,801/27,318.65 = 11,297.01/x
  3. Step 3: Cross multiply
    19,801x = 27,318.65 × 11,297.01
  4. Step 4: Simplify right side
    19,801x = 308,619,158.78
  5. Step 5: Solve for x
    x = 308,619,158.78/19,801
  6. Step 6: Final answer
    x = 15,586.04

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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.