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Finding the Fourth Proportional to 4,966.82, 6,854.90 and 3,203.55

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Solution

The fourth proportional to 4,966.82, 6,854.90 and 3,203.55 is: 4,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.82 : 6,854.90 = 3,203.55 : x
  2. Step 2: Convert to fraction form
    4,966.82/6,854.90 = 3,203.55/x
  3. Step 3: Cross multiply
    4,966.82x = 6,854.90 × 3,203.55
  4. Step 4: Simplify right side
    4,966.82x = 21,959,998.88
  5. Step 5: Solve for x
    x = 21,959,998.88/4,966.82
  6. Step 6: Final answer
    x = 4,421.34

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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.