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Finding the Fourth Proportional to 25,077, 37,617.78 and 6,609

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Solution

The fourth proportional to 25,077, 37,617.78 and 6,609 is: 9,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,077 : 37,617.78 = 6,609 : x
  2. Step 2: Convert to fraction form
    25,077/37,617.78 = 6,609/x
  3. Step 3: Cross multiply
    25,077x = 37,617.78 × 6,609
  4. Step 4: Simplify right side
    25,077x = 248,615,908.02
  5. Step 5: Solve for x
    x = 248,615,908.02/25,077
  6. Step 6: Final answer
    x = 9,914.10

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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.