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Finding the Fourth Proportional to 25,270.38, 37,908 and 7,737.12

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Solution

The fourth proportional to 25,270.38, 37,908 and 7,737.12 is: 11,606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,270.38 : 37,908 = 7,737.12 : x
  2. Step 2: Convert to fraction form
    25,270.38/37,908 = 7,737.12/x
  3. Step 3: Cross multiply
    25,270.38x = 37,908 × 7,737.12
  4. Step 4: Simplify right side
    25,270.38x = 293,298,744.96
  5. Step 5: Solve for x
    x = 293,298,744.96/25,270.38
  6. Step 6: Final answer
    x = 11,606.42

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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.