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Finding the Fourth Proportional to 6,891.90, 9,510.03 and 3,907.14

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Solution

The fourth proportional to 6,891.90, 9,510.03 and 3,907.14 is: 5,391.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.90 : 9,510.03 = 3,907.14 : x
  2. Step 2: Convert to fraction form
    6,891.90/9,510.03 = 3,907.14/x
  3. Step 3: Cross multiply
    6,891.90x = 9,510.03 × 3,907.14
  4. Step 4: Simplify right side
    6,891.90x = 37,157,018.61
  5. Step 5: Solve for x
    x = 37,157,018.61/6,891.90
  6. Step 6: Final answer
    x = 5,391.40

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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.