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Finding the Fourth Proportional to 6,862.98, 9,470.95 and 3,719.16

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Solution

The fourth proportional to 6,862.98, 9,470.95 and 3,719.16 is: 5,132.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.98 : 9,470.95 = 3,719.16 : x
  2. Step 2: Convert to fraction form
    6,862.98/9,470.95 = 3,719.16/x
  3. Step 3: Cross multiply
    6,862.98x = 9,470.95 × 3,719.16
  4. Step 4: Simplify right side
    6,862.98x = 35,223,978.40
  5. Step 5: Solve for x
    x = 35,223,978.40/6,862.98
  6. Step 6: Final answer
    x = 5,132.46

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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.