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Finding the Fourth Proportional to 6,917.46, 10,365.66 and 3,016.50

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Solution

The fourth proportional to 6,917.46, 10,365.66 and 3,016.50 is: 4,520.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.46 : 10,365.66 = 3,016.50 : x
  2. Step 2: Convert to fraction form
    6,917.46/10,365.66 = 3,016.50/x
  3. Step 3: Cross multiply
    6,917.46x = 10,365.66 × 3,016.50
  4. Step 4: Simplify right side
    6,917.46x = 31,268,013.39
  5. Step 5: Solve for x
    x = 31,268,013.39/6,917.46
  6. Step 6: Final answer
    x = 4,520.16

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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.