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Finding the Fourth Proportional to 6,831.64, 10,247.10 and 1,901.31

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Solution

The fourth proportional to 6,831.64, 10,247.10 and 1,901.31 is: 2,851.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.64 : 10,247.10 = 1,901.31 : x
  2. Step 2: Convert to fraction form
    6,831.64/10,247.10 = 1,901.31/x
  3. Step 3: Cross multiply
    6,831.64x = 10,247.10 × 1,901.31
  4. Step 4: Simplify right side
    6,831.64x = 19,482,913.70
  5. Step 5: Solve for x
    x = 19,482,913.70/6,831.64
  6. Step 6: Final answer
    x = 2,851.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.