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Finding the Fourth Proportional to 16,952, 25,429.60 and 4,640

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Solution

The fourth proportional to 16,952, 25,429.60 and 4,640 is: 6,960.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,952 : 25,429.60 = 4,640 : x
  2. Step 2: Convert to fraction form
    16,952/25,429.60 = 4,640/x
  3. Step 3: Cross multiply
    16,952x = 25,429.60 × 4,640
  4. Step 4: Simplify right side
    16,952x = 117,993,344
  5. Step 5: Solve for x
    x = 117,993,344/16,952
  6. Step 6: Final answer
    x = 6,960.44

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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.