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Finding the Fourth Proportional to 12,358.58, 18,534.22 and 6,512.00

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Solution

The fourth proportional to 12,358.58, 18,534.22 and 6,512.00 is: 9,766.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.58 : 18,534.22 = 6,512.00 : x
  2. Step 2: Convert to fraction form
    12,358.58/18,534.22 = 6,512.00/x
  3. Step 3: Cross multiply
    12,358.58x = 18,534.22 × 6,512.00
  4. Step 4: Simplify right side
    12,358.58x = 120,694,731.69
  5. Step 5: Solve for x
    x = 120,694,731.69/12,358.58
  6. Step 6: Final answer
    x = 9,766.07

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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.