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Finding the Fourth Proportional to 6,567.49, 9,854.16 and 3,446.77

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Solution

The fourth proportional to 6,567.49, 9,854.16 and 3,446.77 is: 5,171.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.49 : 9,854.16 = 3,446.77 : x
  2. Step 2: Convert to fraction form
    6,567.49/9,854.16 = 3,446.77/x
  3. Step 3: Cross multiply
    6,567.49x = 9,854.16 × 3,446.77
  4. Step 4: Simplify right side
    6,567.49x = 33,965,023.06
  5. Step 5: Solve for x
    x = 33,965,023.06/6,567.49
  6. Step 6: Final answer
    x = 5,171.69

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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.