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Finding the Fourth Proportional to 7,784.78, 11,679.12 and 2,238.12

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Solution

The fourth proportional to 7,784.78, 11,679.12 and 2,238.12 is: 3,357.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.78 : 11,679.12 = 2,238.12 : x
  2. Step 2: Convert to fraction form
    7,784.78/11,679.12 = 2,238.12/x
  3. Step 3: Cross multiply
    7,784.78x = 11,679.12 × 2,238.12
  4. Step 4: Simplify right side
    7,784.78x = 26,139,315.01
  5. Step 5: Solve for x
    x = 26,139,315.01/7,784.78
  6. Step 6: Final answer
    x = 3,357.75

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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.