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Finding the Fourth Proportional to 6,308.46, 9,462.56 and 1,564.56

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Solution

The fourth proportional to 6,308.46, 9,462.56 and 1,564.56 is: 2,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.46 : 9,462.56 = 1,564.56 : x
  2. Step 2: Convert to fraction form
    6,308.46/9,462.56 = 1,564.56/x
  3. Step 3: Cross multiply
    6,308.46x = 9,462.56 × 1,564.56
  4. Step 4: Simplify right side
    6,308.46x = 14,804,735.05
  5. Step 5: Solve for x
    x = 14,804,735.05/6,308.46
  6. Step 6: Final answer
    x = 2,346.81

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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.