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Finding the Fourth Proportional to 25,085.96, 37,629 and 6,366

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Solution

The fourth proportional to 25,085.96, 37,629 and 6,366 is: 9,549.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,085.96 : 37,629 = 6,366 : x
  2. Step 2: Convert to fraction form
    25,085.96/37,629 = 6,366/x
  3. Step 3: Cross multiply
    25,085.96x = 37,629 × 6,366
  4. Step 4: Simplify right side
    25,085.96x = 239,546,214
  5. Step 5: Solve for x
    x = 239,546,214/25,085.96
  6. Step 6: Final answer
    x = 9,549.02

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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.