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Finding the Fourth Proportional to 6,014.76, 9,022.50 and 1,632.58

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Solution

The fourth proportional to 6,014.76, 9,022.50 and 1,632.58 is: 2,448.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.76 : 9,022.50 = 1,632.58 : x
  2. Step 2: Convert to fraction form
    6,014.76/9,022.50 = 1,632.58/x
  3. Step 3: Cross multiply
    6,014.76x = 9,022.50 × 1,632.58
  4. Step 4: Simplify right side
    6,014.76x = 14,729,953.05
  5. Step 5: Solve for x
    x = 14,729,953.05/6,014.76
  6. Step 6: Final answer
    x = 2,448.97

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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.