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Finding the Fourth Proportional to 25,282, 37,922.86 and 6,562.03

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Solution

The fourth proportional to 25,282, 37,922.86 and 6,562.03 is: 9,843.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,282 : 37,922.86 = 6,562.03 : x
  2. Step 2: Convert to fraction form
    25,282/37,922.86 = 6,562.03/x
  3. Step 3: Cross multiply
    25,282x = 37,922.86 × 6,562.03
  4. Step 4: Simplify right side
    25,282x = 248,850,945.01
  5. Step 5: Solve for x
    x = 248,850,945.01/25,282
  6. Step 6: Final answer
    x = 9,843.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.