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Finding the Fourth Proportional to 8,227.47, 11,353.71 and 4,690.47

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Solution

The fourth proportional to 8,227.47, 11,353.71 and 4,690.47 is: 6,472.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.47 : 11,353.71 = 4,690.47 : x
  2. Step 2: Convert to fraction form
    8,227.47/11,353.71 = 4,690.47/x
  3. Step 3: Cross multiply
    8,227.47x = 11,353.71 × 4,690.47
  4. Step 4: Simplify right side
    8,227.47x = 53,254,236.14
  5. Step 5: Solve for x
    x = 53,254,236.14/8,227.47
  6. Step 6: Final answer
    x = 6,472.74

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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.