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Finding the Fourth Proportional to 21,749.60, 32,625.64 and 6,166

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Solution

The fourth proportional to 21,749.60, 32,625.64 and 6,166 is: 9,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,749.60 : 32,625.64 = 6,166 : x
  2. Step 2: Convert to fraction form
    21,749.60/32,625.64 = 6,166/x
  3. Step 3: Cross multiply
    21,749.60x = 32,625.64 × 6,166
  4. Step 4: Simplify right side
    21,749.60x = 201,169,696.24
  5. Step 5: Solve for x
    x = 201,169,696.24/21,749.60
  6. Step 6: Final answer
    x = 9,249.35

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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.