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Finding the Fourth Proportional to 8,514.57, 11,735.35 and 8,022.50

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Solution

The fourth proportional to 8,514.57, 11,735.35 and 8,022.50 is: 11,057.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.57 : 11,735.35 = 8,022.50 : x
  2. Step 2: Convert to fraction form
    8,514.57/11,735.35 = 8,022.50/x
  3. Step 3: Cross multiply
    8,514.57x = 11,735.35 × 8,022.50
  4. Step 4: Simplify right side
    8,514.57x = 94,146,775.92
  5. Step 5: Solve for x
    x = 94,146,775.92/8,514.57
  6. Step 6: Final answer
    x = 11,057.13

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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.