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Finding the Fourth Proportional to 6,597.91, 9,102 and 3,907.43

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Solution

The fourth proportional to 6,597.91, 9,102 and 3,907.43 is: 5,390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.91 : 9,102 = 3,907.43 : x
  2. Step 2: Convert to fraction form
    6,597.91/9,102 = 3,907.43/x
  3. Step 3: Cross multiply
    6,597.91x = 9,102 × 3,907.43
  4. Step 4: Simplify right side
    6,597.91x = 35,565,427.86
  5. Step 5: Solve for x
    x = 35,565,427.86/6,597.91
  6. Step 6: Final answer
    x = 5,390.41

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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.