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Finding the Fourth Proportional to 6,784.83, 10,175.58 and 1,854.50

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Solution

The fourth proportional to 6,784.83, 10,175.58 and 1,854.50 is: 2,781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.83 : 10,175.58 = 1,854.50 : x
  2. Step 2: Convert to fraction form
    6,784.83/10,175.58 = 1,854.50/x
  3. Step 3: Cross multiply
    6,784.83x = 10,175.58 × 1,854.50
  4. Step 4: Simplify right side
    6,784.83x = 18,870,562.23
  5. Step 5: Solve for x
    x = 18,870,562.23/6,784.83
  6. Step 6: Final answer
    x = 2,781.29

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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.