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Finding the Fourth Proportional to 7,028.32, 9,697.68 and 4,234

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Solution

The fourth proportional to 7,028.32, 9,697.68 and 4,234 is: 5,842.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.32 : 9,697.68 = 4,234 : x
  2. Step 2: Convert to fraction form
    7,028.32/9,697.68 = 4,234/x
  3. Step 3: Cross multiply
    7,028.32x = 9,697.68 × 4,234
  4. Step 4: Simplify right side
    7,028.32x = 41,059,977.12
  5. Step 5: Solve for x
    x = 41,059,977.12/7,028.32
  6. Step 6: Final answer
    x = 5,842.08

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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.