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Finding the Fourth Proportional to 6,911.04, 9,538.92 and 4,116

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Solution

The fourth proportional to 6,911.04, 9,538.92 and 4,116 is: 5,681.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.04 : 9,538.92 = 4,116 : x
  2. Step 2: Convert to fraction form
    6,911.04/9,538.92 = 4,116/x
  3. Step 3: Cross multiply
    6,911.04x = 9,538.92 × 4,116
  4. Step 4: Simplify right side
    6,911.04x = 39,262,194.72
  5. Step 5: Solve for x
    x = 39,262,194.72/6,911.04
  6. Step 6: Final answer
    x = 5,681.08

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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.