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Finding the Fourth Proportional to 6,167.06, 8,509.73 and 3,478.42

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Solution

The fourth proportional to 6,167.06, 8,509.73 and 3,478.42 is: 4,799.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.06 : 8,509.73 = 3,478.42 : x
  2. Step 2: Convert to fraction form
    6,167.06/8,509.73 = 3,478.42/x
  3. Step 3: Cross multiply
    6,167.06x = 8,509.73 × 3,478.42
  4. Step 4: Simplify right side
    6,167.06x = 29,600,415.03
  5. Step 5: Solve for x
    x = 29,600,415.03/6,167.06
  6. Step 6: Final answer
    x = 4,799.76

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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.