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Finding the Fourth Proportional to 6,462.56, 9,699.60 and 4,412

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Solution

The fourth proportional to 6,462.56, 9,699.60 and 4,412 is: 6,621.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.56 : 9,699.60 = 4,412 : x
  2. Step 2: Convert to fraction form
    6,462.56/9,699.60 = 4,412/x
  3. Step 3: Cross multiply
    6,462.56x = 9,699.60 × 4,412
  4. Step 4: Simplify right side
    6,462.56x = 42,794,635.20
  5. Step 5: Solve for x
    x = 42,794,635.20/6,462.56
  6. Step 6: Final answer
    x = 6,621.93

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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.