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Finding the Fourth Proportional to 6,141.78, 9,212.64 and 1,524.78

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Solution

The fourth proportional to 6,141.78, 9,212.64 and 1,524.78 is: 2,287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.78 : 9,212.64 = 1,524.78 : x
  2. Step 2: Convert to fraction form
    6,141.78/9,212.64 = 1,524.78/x
  3. Step 3: Cross multiply
    6,141.78x = 9,212.64 × 1,524.78
  4. Step 4: Simplify right side
    6,141.78x = 14,047,249.22
  5. Step 5: Solve for x
    x = 14,047,249.22/6,141.78
  6. Step 6: Final answer
    x = 2,287.16

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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.