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Finding the Fourth Proportional to 6,346, 9,512.88 and 3,224.56

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Solution

The fourth proportional to 6,346, 9,512.88 and 3,224.56 is: 4,833.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346 : 9,512.88 = 3,224.56 : x
  2. Step 2: Convert to fraction form
    6,346/9,512.88 = 3,224.56/x
  3. Step 3: Cross multiply
    6,346x = 9,512.88 × 3,224.56
  4. Step 4: Simplify right side
    6,346x = 30,674,852.33
  5. Step 5: Solve for x
    x = 30,674,852.33/6,346
  6. Step 6: Final answer
    x = 4,833.73

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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.