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Finding the Fourth Proportional to 8,644.14, 12,967.02 and 6,698.52

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Solution

The fourth proportional to 8,644.14, 12,967.02 and 6,698.52 is: 10,048.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.14 : 12,967.02 = 6,698.52 : x
  2. Step 2: Convert to fraction form
    8,644.14/12,967.02 = 6,698.52/x
  3. Step 3: Cross multiply
    8,644.14x = 12,967.02 × 6,698.52
  4. Step 4: Simplify right side
    8,644.14x = 86,859,842.81
  5. Step 5: Solve for x
    x = 86,859,842.81/8,644.14
  6. Step 6: Final answer
    x = 10,048.41

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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.