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Finding the Fourth Proportional to 6,512.78, 9,772.68 and 4,322.54

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Solution

The fourth proportional to 6,512.78, 9,772.68 and 4,322.54 is: 6,486.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.78 : 9,772.68 = 4,322.54 : x
  2. Step 2: Convert to fraction form
    6,512.78/9,772.68 = 4,322.54/x
  3. Step 3: Cross multiply
    6,512.78x = 9,772.68 × 4,322.54
  4. Step 4: Simplify right side
    6,512.78x = 42,242,800.21
  5. Step 5: Solve for x
    x = 42,242,800.21/6,512.78
  6. Step 6: Final answer
    x = 6,486.14

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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.