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Finding the Fourth Proportional to 25,230.50, 37,845.03 and 7,697.78

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Solution

The fourth proportional to 25,230.50, 37,845.03 and 7,697.78 is: 11,546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,230.50 : 37,845.03 = 7,697.78 : x
  2. Step 2: Convert to fraction form
    25,230.50/37,845.03 = 7,697.78/x
  3. Step 3: Cross multiply
    25,230.50x = 37,845.03 × 7,697.78
  4. Step 4: Simplify right side
    25,230.50x = 291,322,715.03
  5. Step 5: Solve for x
    x = 291,322,715.03/25,230.50
  6. Step 6: Final answer
    x = 11,546.45

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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.