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Finding the Fourth Proportional to 7,733.92, 11,604.12 and 5,559.88

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Solution

The fourth proportional to 7,733.92, 11,604.12 and 5,559.88 is: 8,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733.92 : 11,604.12 = 5,559.88 : x
  2. Step 2: Convert to fraction form
    7,733.92/11,604.12 = 5,559.88/x
  3. Step 3: Cross multiply
    7,733.92x = 11,604.12 × 5,559.88
  4. Step 4: Simplify right side
    7,733.92x = 64,517,514.71
  5. Step 5: Solve for x
    x = 64,517,514.71/7,733.92
  6. Step 6: Final answer
    x = 8,342.15

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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.