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Finding the Fourth Proportional to 6,195, 9,269.16 and 4,349.76

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Solution

The fourth proportional to 6,195, 9,269.16 and 4,349.76 is: 6,508.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195 : 9,269.16 = 4,349.76 : x
  2. Step 2: Convert to fraction form
    6,195/9,269.16 = 4,349.76/x
  3. Step 3: Cross multiply
    6,195x = 9,269.16 × 4,349.76
  4. Step 4: Simplify right side
    6,195x = 40,318,621.40
  5. Step 5: Solve for x
    x = 40,318,621.40/6,195
  6. Step 6: Final answer
    x = 6,508.25

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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.