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Finding the Fourth Proportional to 8,464.40, 12,682.20 and 6,995.60

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Solution

The fourth proportional to 8,464.40, 12,682.20 and 6,995.60 is: 10,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.40 : 12,682.20 = 6,995.60 : x
  2. Step 2: Convert to fraction form
    8,464.40/12,682.20 = 6,995.60/x
  3. Step 3: Cross multiply
    8,464.40x = 12,682.20 × 6,995.60
  4. Step 4: Simplify right side
    8,464.40x = 88,719,598.32
  5. Step 5: Solve for x
    x = 88,719,598.32/8,464.40
  6. Step 6: Final answer
    x = 10,481.50

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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.