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Finding the Fourth Proportional to 6,997.48, 10,445.02 and 6,167.12

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Solution

The fourth proportional to 6,997.48, 10,445.02 and 6,167.12 is: 9,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.48 : 10,445.02 = 6,167.12 : x
  2. Step 2: Convert to fraction form
    6,997.48/10,445.02 = 6,167.12/x
  3. Step 3: Cross multiply
    6,997.48x = 10,445.02 × 6,167.12
  4. Step 4: Simplify right side
    6,997.48x = 64,415,660.91
  5. Step 5: Solve for x
    x = 64,415,660.91/6,997.48
  6. Step 6: Final answer
    x = 9,205.56

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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.