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Finding the Fourth Proportional to 8,162.87, 11,264.85 and 4,578.58

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Solution

The fourth proportional to 8,162.87, 11,264.85 and 4,578.58 is: 6,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.87 : 11,264.85 = 4,578.58 : x
  2. Step 2: Convert to fraction form
    8,162.87/11,264.85 = 4,578.58/x
  3. Step 3: Cross multiply
    8,162.87x = 11,264.85 × 4,578.58
  4. Step 4: Simplify right side
    8,162.87x = 51,577,055.01
  5. Step 5: Solve for x
    x = 51,577,055.01/8,162.87
  6. Step 6: Final answer
    x = 6,318.50

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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.