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Finding the Fourth Proportional to 8,234.64, 11,367.48 and 5,254.48

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Solution

The fourth proportional to 8,234.64, 11,367.48 and 5,254.48 is: 7,253.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.64 : 11,367.48 = 5,254.48 : x
  2. Step 2: Convert to fraction form
    8,234.64/11,367.48 = 5,254.48/x
  3. Step 3: Cross multiply
    8,234.64x = 11,367.48 × 5,254.48
  4. Step 4: Simplify right side
    8,234.64x = 59,730,196.31
  5. Step 5: Solve for x
    x = 59,730,196.31/8,234.64
  6. Step 6: Final answer
    x = 7,253.53

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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.