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Finding the Fourth Proportional to 25,274.38, 37,914 and 7,741.12

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Solution

The fourth proportional to 25,274.38, 37,914 and 7,741.12 is: 11,612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,274.38 : 37,914 = 7,741.12 : x
  2. Step 2: Convert to fraction form
    25,274.38/37,914 = 7,741.12/x
  3. Step 3: Cross multiply
    25,274.38x = 37,914 × 7,741.12
  4. Step 4: Simplify right side
    25,274.38x = 293,496,823.68
  5. Step 5: Solve for x
    x = 293,496,823.68/25,274.38
  6. Step 6: Final answer
    x = 11,612.42

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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.