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Finding the Fourth Proportional to 16,884.54, 25,319.52 and 6,489

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Solution

The fourth proportional to 16,884.54, 25,319.52 and 6,489 is: 9,730.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,884.54 : 25,319.52 = 6,489 : x
  2. Step 2: Convert to fraction form
    16,884.54/25,319.52 = 6,489/x
  3. Step 3: Cross multiply
    16,884.54x = 25,319.52 × 6,489
  4. Step 4: Simplify right side
    16,884.54x = 164,298,365.28
  5. Step 5: Solve for x
    x = 164,298,365.28/16,884.54
  6. Step 6: Final answer
    x = 9,730.70

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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.