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Finding the Fourth Proportional to 4,697.70, 7,027.10 and 4,270.02

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Solution

The fourth proportional to 4,697.70, 7,027.10 and 4,270.02 is: 6,387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.70 : 7,027.10 = 4,270.02 : x
  2. Step 2: Convert to fraction form
    4,697.70/7,027.10 = 4,270.02/x
  3. Step 3: Cross multiply
    4,697.70x = 7,027.10 × 4,270.02
  4. Step 4: Simplify right side
    4,697.70x = 30,005,857.54
  5. Step 5: Solve for x
    x = 30,005,857.54/4,697.70
  6. Step 6: Final answer
    x = 6,387.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.