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Finding the Fourth Proportional to 6,471.03, 9,706.53 and 2,028.72

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Solution

The fourth proportional to 6,471.03, 9,706.53 and 2,028.72 is: 3,043.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.03 : 9,706.53 = 2,028.72 : x
  2. Step 2: Convert to fraction form
    6,471.03/9,706.53 = 2,028.72/x
  3. Step 3: Cross multiply
    6,471.03x = 9,706.53 × 2,028.72
  4. Step 4: Simplify right side
    6,471.03x = 19,691,831.54
  5. Step 5: Solve for x
    x = 19,691,831.54/6,471.03
  6. Step 6: Final answer
    x = 3,043.08

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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.