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Finding the Fourth Proportional to 4,632.34, 6,942.11 and 4,014.51

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Solution

The fourth proportional to 4,632.34, 6,942.11 and 4,014.51 is: 6,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.34 : 6,942.11 = 4,014.51 : x
  2. Step 2: Convert to fraction form
    4,632.34/6,942.11 = 4,014.51/x
  3. Step 3: Cross multiply
    4,632.34x = 6,942.11 × 4,014.51
  4. Step 4: Simplify right side
    4,632.34x = 27,869,162.96
  5. Step 5: Solve for x
    x = 27,869,162.96/4,632.34
  6. Step 6: Final answer
    x = 6,016.22

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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.