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Finding the Fourth Proportional to 8,233.64, 12,354.78 and 4,338.44

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Solution

The fourth proportional to 8,233.64, 12,354.78 and 4,338.44 is: 6,509.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.64 : 12,354.78 = 4,338.44 : x
  2. Step 2: Convert to fraction form
    8,233.64/12,354.78 = 4,338.44/x
  3. Step 3: Cross multiply
    8,233.64x = 12,354.78 × 4,338.44
  4. Step 4: Simplify right side
    8,233.64x = 53,600,471.74
  5. Step 5: Solve for x
    x = 53,600,471.74/8,233.64
  6. Step 6: Final answer
    x = 6,509.94

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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.