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Finding the Fourth Proportional to 8,201.70, 11,315.13 and 5,052.42

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Solution

The fourth proportional to 8,201.70, 11,315.13 and 5,052.42 is: 6,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.70 : 11,315.13 = 5,052.42 : x
  2. Step 2: Convert to fraction form
    8,201.70/11,315.13 = 5,052.42/x
  3. Step 3: Cross multiply
    8,201.70x = 11,315.13 × 5,052.42
  4. Step 4: Simplify right side
    8,201.70x = 57,168,789.11
  5. Step 5: Solve for x
    x = 57,168,789.11/8,201.70
  6. Step 6: Final answer
    x = 6,970.36

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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.