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Finding the Fourth Proportional to 18,657, 27,986.04 and 4,806

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Solution

The fourth proportional to 18,657, 27,986.04 and 4,806 is: 7,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657 : 27,986.04 = 4,806 : x
  2. Step 2: Convert to fraction form
    18,657/27,986.04 = 4,806/x
  3. Step 3: Cross multiply
    18,657x = 27,986.04 × 4,806
  4. Step 4: Simplify right side
    18,657x = 134,500,908.24
  5. Step 5: Solve for x
    x = 134,500,908.24/18,657
  6. Step 6: Final answer
    x = 7,209.14

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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.