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Finding the Fourth Proportional to 12,164, 16,786.34 and 6,575

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Solution

The fourth proportional to 12,164, 16,786.34 and 6,575 is: 9,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164 : 16,786.34 = 6,575 : x
  2. Step 2: Convert to fraction form
    12,164/16,786.34 = 6,575/x
  3. Step 3: Cross multiply
    12,164x = 16,786.34 × 6,575
  4. Step 4: Simplify right side
    12,164x = 110,370,185.50
  5. Step 5: Solve for x
    x = 110,370,185.50/12,164
  6. Step 6: Final answer
    x = 9,073.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.