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Finding the Fourth Proportional to 18,846, 28,281.96 and 6,534

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Solution

The fourth proportional to 18,846, 28,281.96 and 6,534 is: 9,805.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,846 : 28,281.96 = 6,534 : x
  2. Step 2: Convert to fraction form
    18,846/28,281.96 = 6,534/x
  3. Step 3: Cross multiply
    18,846x = 28,281.96 × 6,534
  4. Step 4: Simplify right side
    18,846x = 184,794,326.64
  5. Step 5: Solve for x
    x = 184,794,326.64/18,846
  6. Step 6: Final answer
    x = 9,805.49

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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.