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Finding the Fourth Proportional to 25,083, 37,627.02 and 6,615

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Solution

The fourth proportional to 25,083, 37,627.02 and 6,615 is: 9,923.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,083 : 37,627.02 = 6,615 : x
  2. Step 2: Convert to fraction form
    25,083/37,627.02 = 6,615/x
  3. Step 3: Cross multiply
    25,083x = 37,627.02 × 6,615
  4. Step 4: Simplify right side
    25,083x = 248,902,737.30
  5. Step 5: Solve for x
    x = 248,902,737.30/25,083
  6. Step 6: Final answer
    x = 9,923.16

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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.