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Finding the Fourth Proportional to 8,095.76, 12,137.52 and 4,197.68

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Solution

The fourth proportional to 8,095.76, 12,137.52 and 4,197.68 is: 6,293.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.76 : 12,137.52 = 4,197.68 : x
  2. Step 2: Convert to fraction form
    8,095.76/12,137.52 = 4,197.68/x
  3. Step 3: Cross multiply
    8,095.76x = 12,137.52 × 4,197.68
  4. Step 4: Simplify right side
    8,095.76x = 50,949,424.95
  5. Step 5: Solve for x
    x = 50,949,424.95/8,095.76
  6. Step 6: Final answer
    x = 6,293.35

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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.