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Finding the Fourth Proportional to 8,514.73, 11,750.39 and 4,977.24

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Solution

The fourth proportional to 8,514.73, 11,750.39 and 4,977.24 is: 6,868.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.73 : 11,750.39 = 4,977.24 : x
  2. Step 2: Convert to fraction form
    8,514.73/11,750.39 = 4,977.24/x
  3. Step 3: Cross multiply
    8,514.73x = 11,750.39 × 4,977.24
  4. Step 4: Simplify right side
    8,514.73x = 58,484,511.12
  5. Step 5: Solve for x
    x = 58,484,511.12/8,514.73
  6. Step 6: Final answer
    x = 6,868.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.