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Finding the Fourth Proportional to 11,577.14, 17,368.77 and 6,648.50

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Solution

The fourth proportional to 11,577.14, 17,368.77 and 6,648.50 is: 9,974.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.14 : 17,368.77 = 6,648.50 : x
  2. Step 2: Convert to fraction form
    11,577.14/17,368.77 = 6,648.50/x
  3. Step 3: Cross multiply
    11,577.14x = 17,368.77 × 6,648.50
  4. Step 4: Simplify right side
    11,577.14x = 115,476,267.35
  5. Step 5: Solve for x
    x = 115,476,267.35/11,577.14
  6. Step 6: Final answer
    x = 9,974.51

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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.