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Finding the Fourth Proportional to 6,901.37, 9,525.14 and 4,068.59

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Solution

The fourth proportional to 6,901.37, 9,525.14 and 4,068.59 is: 5,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.37 : 9,525.14 = 4,068.59 : x
  2. Step 2: Convert to fraction form
    6,901.37/9,525.14 = 4,068.59/x
  3. Step 3: Cross multiply
    6,901.37x = 9,525.14 × 4,068.59
  4. Step 4: Simplify right side
    6,901.37x = 38,753,821.38
  5. Step 5: Solve for x
    x = 38,753,821.38/6,901.37
  6. Step 6: Final answer
    x = 5,615.38

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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.