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Finding the Fourth Proportional to 10,194.77, 14,055.76 and 6,603.39

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Solution

The fourth proportional to 10,194.77, 14,055.76 and 6,603.39 is: 9,104.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.77 : 14,055.76 = 6,603.39 : x
  2. Step 2: Convert to fraction form
    10,194.77/14,055.76 = 6,603.39/x
  3. Step 3: Cross multiply
    10,194.77x = 14,055.76 × 6,603.39
  4. Step 4: Simplify right side
    10,194.77x = 92,815,665.03
  5. Step 5: Solve for x
    x = 92,815,665.03/10,194.77
  6. Step 6: Final answer
    x = 9,104.24

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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.