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Finding the Fourth Proportional to 8,283.88, 11,432.22 and 4,747.68

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Solution

The fourth proportional to 8,283.88, 11,432.22 and 4,747.68 is: 6,552.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.88 : 11,432.22 = 4,747.68 : x
  2. Step 2: Convert to fraction form
    8,283.88/11,432.22 = 4,747.68/x
  3. Step 3: Cross multiply
    8,283.88x = 11,432.22 × 4,747.68
  4. Step 4: Simplify right side
    8,283.88x = 54,276,522.25
  5. Step 5: Solve for x
    x = 54,276,522.25/8,283.88
  6. Step 6: Final answer
    x = 6,552.07

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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.