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Finding the Fourth Proportional to 6,091.24, 8,405.22 and 5,158.12

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Solution

The fourth proportional to 6,091.24, 8,405.22 and 5,158.12 is: 7,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.24 : 8,405.22 = 5,158.12 : x
  2. Step 2: Convert to fraction form
    6,091.24/8,405.22 = 5,158.12/x
  3. Step 3: Cross multiply
    6,091.24x = 8,405.22 × 5,158.12
  4. Step 4: Simplify right side
    6,091.24x = 43,355,133.39
  5. Step 5: Solve for x
    x = 43,355,133.39/6,091.24
  6. Step 6: Final answer
    x = 7,117.62

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Half scale
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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.