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Finding the Fourth Proportional to 6,557.87, 9,831.30 and 2,857.31

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Solution

The fourth proportional to 6,557.87, 9,831.30 and 2,857.31 is: 4,283.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.87 : 9,831.30 = 2,857.31 : x
  2. Step 2: Convert to fraction form
    6,557.87/9,831.30 = 2,857.31/x
  3. Step 3: Cross multiply
    6,557.87x = 9,831.30 × 2,857.31
  4. Step 4: Simplify right side
    6,557.87x = 28,091,071.80
  5. Step 5: Solve for x
    x = 28,091,071.80/6,557.87
  6. Step 6: Final answer
    x = 4,283.57

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Why These Related Problems?

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