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Finding the Fourth Proportional to 7,596.77, 11,393.78 and 2,048.83

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Solution

The fourth proportional to 7,596.77, 11,393.78 and 2,048.83 is: 3,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596.77 : 11,393.78 = 2,048.83 : x
  2. Step 2: Convert to fraction form
    7,596.77/11,393.78 = 2,048.83/x
  3. Step 3: Cross multiply
    7,596.77x = 11,393.78 × 2,048.83
  4. Step 4: Simplify right side
    7,596.77x = 23,343,879.55
  5. Step 5: Solve for x
    x = 23,343,879.55/7,596.77
  6. Step 6: Final answer
    x = 3,072.87

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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.