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Finding the Fourth Proportional to 19,697.19, 27,187.29 and 11,204.28

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Solution

The fourth proportional to 19,697.19, 27,187.29 and 11,204.28 is: 15,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697.19 : 27,187.29 = 11,204.28 : x
  2. Step 2: Convert to fraction form
    19,697.19/27,187.29 = 11,204.28/x
  3. Step 3: Cross multiply
    19,697.19x = 27,187.29 × 11,204.28
  4. Step 4: Simplify right side
    19,697.19x = 304,614,009.60
  5. Step 5: Solve for x
    x = 304,614,009.60/19,697.19
  6. Step 6: Final answer
    x = 15,464.85

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Half scale
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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.