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Finding the Fourth Proportional to 6,820.56, 9,410.64 and 3,836.22

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Solution

The fourth proportional to 6,820.56, 9,410.64 and 3,836.22 is: 5,293.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.56 : 9,410.64 = 3,836.22 : x
  2. Step 2: Convert to fraction form
    6,820.56/9,410.64 = 3,836.22/x
  3. Step 3: Cross multiply
    6,820.56x = 9,410.64 × 3,836.22
  4. Step 4: Simplify right side
    6,820.56x = 36,101,285.38
  5. Step 5: Solve for x
    x = 36,101,285.38/6,820.56
  6. Step 6: Final answer
    x = 5,293.01

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Half scale
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Double 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.