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Finding the Fourth Proportional to 18,653.76, 27,971.80 and 6,799.14

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Solution

The fourth proportional to 18,653.76, 27,971.80 and 6,799.14 is: 10,195.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,653.76 : 27,971.80 = 6,799.14 : x
  2. Step 2: Convert to fraction form
    18,653.76/27,971.80 = 6,799.14/x
  3. Step 3: Cross multiply
    18,653.76x = 27,971.80 × 6,799.14
  4. Step 4: Simplify right side
    18,653.76x = 190,184,167.25
  5. Step 5: Solve for x
    x = 190,184,167.25/18,653.76
  6. Step 6: Final answer
    x = 10,195.49

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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.