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Finding the Fourth Proportional to 6,196.60, 9,302.10 and 3,734.20

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Solution

The fourth proportional to 6,196.60, 9,302.10 and 3,734.20 is: 5,605.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.60 : 9,302.10 = 3,734.20 : x
  2. Step 2: Convert to fraction form
    6,196.60/9,302.10 = 3,734.20/x
  3. Step 3: Cross multiply
    6,196.60x = 9,302.10 × 3,734.20
  4. Step 4: Simplify right side
    6,196.60x = 34,735,901.82
  5. Step 5: Solve for x
    x = 34,735,901.82/6,196.60
  6. Step 6: Final answer
    x = 5,605.64

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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.