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Finding the Fourth Proportional to 6,109.91, 9,158.70 and 2,410.70

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Solution

The fourth proportional to 6,109.91, 9,158.70 and 2,410.70 is: 3,613.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.91 : 9,158.70 = 2,410.70 : x
  2. Step 2: Convert to fraction form
    6,109.91/9,158.70 = 2,410.70/x
  3. Step 3: Cross multiply
    6,109.91x = 9,158.70 × 2,410.70
  4. Step 4: Simplify right side
    6,109.91x = 22,078,878.09
  5. Step 5: Solve for x
    x = 22,078,878.09/6,109.91
  6. Step 6: Final answer
    x = 3,613.62

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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.