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Finding the Fourth Proportional to 8,284.73, 11,432.97 and 4,748.15

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Solution

The fourth proportional to 8,284.73, 11,432.97 and 4,748.15 is: 6,552.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.73 : 11,432.97 = 4,748.15 : x
  2. Step 2: Convert to fraction form
    8,284.73/11,432.97 = 4,748.15/x
  3. Step 3: Cross multiply
    8,284.73x = 11,432.97 × 4,748.15
  4. Step 4: Simplify right side
    8,284.73x = 54,285,456.51
  5. Step 5: Solve for x
    x = 54,285,456.51/8,284.73
  6. Step 6: Final answer
    x = 6,552.47

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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.