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Finding the Fourth Proportional to 7,775.88, 11,663.52 and 1,932.54

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Solution

The fourth proportional to 7,775.88, 11,663.52 and 1,932.54 is: 2,898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.88 : 11,663.52 = 1,932.54 : x
  2. Step 2: Convert to fraction form
    7,775.88/11,663.52 = 1,932.54/x
  3. Step 3: Cross multiply
    7,775.88x = 11,663.52 × 1,932.54
  4. Step 4: Simplify right side
    7,775.88x = 22,540,218.94
  5. Step 5: Solve for x
    x = 22,540,218.94/7,775.88
  6. Step 6: Final answer
    x = 2,898.74

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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.