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Finding the Fourth Proportional to 18,496.64, 27,742.80 and 7,402.88

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Solution

The fourth proportional to 18,496.64, 27,742.80 and 7,402.88 is: 11,103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,496.64 : 27,742.80 = 7,402.88 : x
  2. Step 2: Convert to fraction form
    18,496.64/27,742.80 = 7,402.88/x
  3. Step 3: Cross multiply
    18,496.64x = 27,742.80 × 7,402.88
  4. Step 4: Simplify right side
    18,496.64x = 205,376,619.26
  5. Step 5: Solve for x
    x = 205,376,619.26/18,496.64
  6. Step 6: Final answer
    x = 11,103.46

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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.