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Finding the Fourth Proportional to 6,172.56, 9,258.63 and 2,881.14

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Solution

The fourth proportional to 6,172.56, 9,258.63 and 2,881.14 is: 4,321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.56 : 9,258.63 = 2,881.14 : x
  2. Step 2: Convert to fraction form
    6,172.56/9,258.63 = 2,881.14/x
  3. Step 3: Cross multiply
    6,172.56x = 9,258.63 × 2,881.14
  4. Step 4: Simplify right side
    6,172.56x = 26,675,409.24
  5. Step 5: Solve for x
    x = 26,675,409.24/6,172.56
  6. Step 6: Final answer
    x = 4,321.61

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1.5x scale

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.