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Finding the Fourth Proportional to 7,406.38, 10,220.81 and 4,094.38

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Solution

The fourth proportional to 7,406.38, 10,220.81 and 4,094.38 is: 5,650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.38 : 10,220.81 = 4,094.38 : x
  2. Step 2: Convert to fraction form
    7,406.38/10,220.81 = 4,094.38/x
  3. Step 3: Cross multiply
    7,406.38x = 10,220.81 × 4,094.38
  4. Step 4: Simplify right side
    7,406.38x = 41,847,808.47
  5. Step 5: Solve for x
    x = 41,847,808.47/7,406.38
  6. Step 6: Final answer
    x = 5,650.24

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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.