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Finding the Fourth Proportional to 16,810, 25,197.90 and 6,954.64

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Solution

The fourth proportional to 16,810, 25,197.90 and 6,954.64 is: 10,424.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,810 : 25,197.90 = 6,954.64 : x
  2. Step 2: Convert to fraction form
    16,810/25,197.90 = 6,954.64/x
  3. Step 3: Cross multiply
    16,810x = 25,197.90 × 6,954.64
  4. Step 4: Simplify right side
    16,810x = 175,242,323.26
  5. Step 5: Solve for x
    x = 175,242,323.26/16,810
  6. Step 6: Final answer
    x = 10,424.89

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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.