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Finding the Fourth Proportional to 8,287.66, 11,434.17 and 5,630.44

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Solution

The fourth proportional to 8,287.66, 11,434.17 and 5,630.44 is: 7,768.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.66 : 11,434.17 = 5,630.44 : x
  2. Step 2: Convert to fraction form
    8,287.66/11,434.17 = 5,630.44/x
  3. Step 3: Cross multiply
    8,287.66x = 11,434.17 × 5,630.44
  4. Step 4: Simplify right side
    8,287.66x = 64,379,408.13
  5. Step 5: Solve for x
    x = 64,379,408.13/8,287.66
  6. Step 6: Final answer
    x = 7,768.10

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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.