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Finding the Fourth Proportional to 5,576.38, 7,697.22 and 4,009.03

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Solution

The fourth proportional to 5,576.38, 7,697.22 and 4,009.03 is: 5,533.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.38 : 7,697.22 = 4,009.03 : x
  2. Step 2: Convert to fraction form
    5,576.38/7,697.22 = 4,009.03/x
  3. Step 3: Cross multiply
    5,576.38x = 7,697.22 × 4,009.03
  4. Step 4: Simplify right side
    5,576.38x = 30,858,385.90
  5. Step 5: Solve for x
    x = 30,858,385.90/5,576.38
  6. Step 6: Final answer
    x = 5,533.77

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Half scale
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Double scale
Find fourth proportional to 5,577.38, 7,698.60 and 4,010.03
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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.