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Finding the Fourth Proportional to 25,112.75, 37,669.13 and 6,644.75

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Solution

The fourth proportional to 25,112.75, 37,669.13 and 6,644.75 is: 9,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,112.75 : 37,669.13 = 6,644.75 : x
  2. Step 2: Convert to fraction form
    25,112.75/37,669.13 = 6,644.75/x
  3. Step 3: Cross multiply
    25,112.75x = 37,669.13 × 6,644.75
  4. Step 4: Simplify right side
    25,112.75x = 250,301,918.34
  5. Step 5: Solve for x
    x = 250,301,918.34/25,112.75
  6. Step 6: Final answer
    x = 9,967.13

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1.5x scale

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.