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Finding the Fourth Proportional to 8,183.76, 12,275.56 and 4,897.76

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Solution

The fourth proportional to 8,183.76, 12,275.56 and 4,897.76 is: 7,346.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.76 : 12,275.56 = 4,897.76 : x
  2. Step 2: Convert to fraction form
    8,183.76/12,275.56 = 4,897.76/x
  3. Step 3: Cross multiply
    8,183.76x = 12,275.56 × 4,897.76
  4. Step 4: Simplify right side
    8,183.76x = 60,122,746.75
  5. Step 5: Solve for x
    x = 60,122,746.75/8,183.76
  6. Step 6: Final answer
    x = 7,346.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.