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Finding the Fourth Proportional to 6,783.93, 10,175.94 and 1,854.09

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Solution

The fourth proportional to 6,783.93, 10,175.94 and 1,854.09 is: 2,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.93 : 10,175.94 = 1,854.09 : x
  2. Step 2: Convert to fraction form
    6,783.93/10,175.94 = 1,854.09/x
  3. Step 3: Cross multiply
    6,783.93x = 10,175.94 × 1,854.09
  4. Step 4: Simplify right side
    6,783.93x = 18,867,108.59
  5. Step 5: Solve for x
    x = 18,867,108.59/6,783.93
  6. Step 6: Final answer
    x = 2,781.15

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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.