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Finding the Fourth Proportional to 16,952, 25,428 and 6,563.75

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Solution

The fourth proportional to 16,952, 25,428 and 6,563.75 is: 9,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,952 : 25,428 = 6,563.75 : x
  2. Step 2: Convert to fraction form
    16,952/25,428 = 6,563.75/x
  3. Step 3: Cross multiply
    16,952x = 25,428 × 6,563.75
  4. Step 4: Simplify right side
    16,952x = 166,903,035
  5. Step 5: Solve for x
    x = 166,903,035/16,952
  6. Step 6: Final answer
    x = 9,845.63

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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.