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Finding the Fourth Proportional to 6,241.83, 9,364.10 and 1,859.64

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Solution

The fourth proportional to 6,241.83, 9,364.10 and 1,859.64 is: 2,789.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.83 : 9,364.10 = 1,859.64 : x
  2. Step 2: Convert to fraction form
    6,241.83/9,364.10 = 1,859.64/x
  3. Step 3: Cross multiply
    6,241.83x = 9,364.10 × 1,859.64
  4. Step 4: Simplify right side
    6,241.83x = 17,413,845.63
  5. Step 5: Solve for x
    x = 17,413,845.63/6,241.83
  6. Step 6: Final answer
    x = 2,789.86

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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.