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Finding the Fourth Proportional to 16,697.60, 25,044.24 and 6,308

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Solution

The fourth proportional to 16,697.60, 25,044.24 and 6,308 is: 9,461.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,697.60 : 25,044.24 = 6,308 : x
  2. Step 2: Convert to fraction form
    16,697.60/25,044.24 = 6,308/x
  3. Step 3: Cross multiply
    16,697.60x = 25,044.24 × 6,308
  4. Step 4: Simplify right side
    16,697.60x = 157,979,065.92
  5. Step 5: Solve for x
    x = 157,979,065.92/16,697.60
  6. Step 6: Final answer
    x = 9,461.18

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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.