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Finding the Fourth Proportional to 25,441, 38,162.22 and 6,973

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Solution

The fourth proportional to 25,441, 38,162.22 and 6,973 is: 10,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,441 : 38,162.22 = 6,973 : x
  2. Step 2: Convert to fraction form
    25,441/38,162.22 = 6,973/x
  3. Step 3: Cross multiply
    25,441x = 38,162.22 × 6,973
  4. Step 4: Simplify right side
    25,441x = 266,105,160.06
  5. Step 5: Solve for x
    x = 266,105,160.06/25,441
  6. Step 6: Final answer
    x = 10,459.70

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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.