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Finding the Fourth Proportional to 12,057.14, 16,638.99 and 6,752

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Solution

The fourth proportional to 12,057.14, 16,638.99 and 6,752 is: 9,317.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.14 : 16,638.99 = 6,752 : x
  2. Step 2: Convert to fraction form
    12,057.14/16,638.99 = 6,752/x
  3. Step 3: Cross multiply
    12,057.14x = 16,638.99 × 6,752
  4. Step 4: Simplify right side
    12,057.14x = 112,346,460.48
  5. Step 5: Solve for x
    x = 112,346,460.48/12,057.14
  6. Step 6: Final answer
    x = 9,317.84

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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.