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Finding the Fourth Proportional to 25,314.80, 37,972.20 and 6,846.80

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Solution

The fourth proportional to 25,314.80, 37,972.20 and 6,846.80 is: 10,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,314.80 : 37,972.20 = 6,846.80 : x
  2. Step 2: Convert to fraction form
    25,314.80/37,972.20 = 6,846.80/x
  3. Step 3: Cross multiply
    25,314.80x = 37,972.20 × 6,846.80
  4. Step 4: Simplify right side
    25,314.80x = 259,988,058.96
  5. Step 5: Solve for x
    x = 259,988,058.96/25,314.80
  6. Step 6: Final answer
    x = 10,270.20

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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.