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Finding the Fourth Proportional to 6,167.04, 8,509.97 and 3,478.46

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Solution

The fourth proportional to 6,167.04, 8,509.97 and 3,478.46 is: 4,799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.04 : 8,509.97 = 3,478.46 : x
  2. Step 2: Convert to fraction form
    6,167.04/8,509.97 = 3,478.46/x
  3. Step 3: Cross multiply
    6,167.04x = 8,509.97 × 3,478.46
  4. Step 4: Simplify right side
    6,167.04x = 29,601,530.30
  5. Step 5: Solve for x
    x = 29,601,530.30/6,167.04
  6. Step 6: Final answer
    x = 4,799.96

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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.