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Finding the Fourth Proportional to 38,464.78, 57,697.14 and 10,762.78

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Solution

The fourth proportional to 38,464.78, 57,697.14 and 10,762.78 is: 16,144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,464.78 : 57,697.14 = 10,762.78 : x
  2. Step 2: Convert to fraction form
    38,464.78/57,697.14 = 10,762.78/x
  3. Step 3: Cross multiply
    38,464.78x = 57,697.14 × 10,762.78
  4. Step 4: Simplify right side
    38,464.78x = 620,981,624.45
  5. Step 5: Solve for x
    x = 620,981,624.45/38,464.78
  6. Step 6: Final answer
    x = 16,144.16

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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.