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Finding the Fourth Proportional to 5,843.66, 8,766.86 and 1,894.76

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Solution

The fourth proportional to 5,843.66, 8,766.86 and 1,894.76 is: 2,842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.66 : 8,766.86 = 1,894.76 : x
  2. Step 2: Convert to fraction form
    5,843.66/8,766.86 = 1,894.76/x
  3. Step 3: Cross multiply
    5,843.66x = 8,766.86 × 1,894.76
  4. Step 4: Simplify right side
    5,843.66x = 16,611,095.65
  5. Step 5: Solve for x
    x = 16,611,095.65/5,843.66
  6. Step 6: Final answer
    x = 2,842.58

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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.