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Finding the Fourth Proportional to 5,998.04, 9,015 and 4,964.68

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Solution

The fourth proportional to 5,998.04, 9,015 and 4,964.68 is: 7,461.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.04 : 9,015 = 4,964.68 : x
  2. Step 2: Convert to fraction form
    5,998.04/9,015 = 4,964.68/x
  3. Step 3: Cross multiply
    5,998.04x = 9,015 × 4,964.68
  4. Step 4: Simplify right side
    5,998.04x = 44,756,590.20
  5. Step 5: Solve for x
    x = 44,756,590.20/5,998.04
  6. Step 6: Final answer
    x = 7,461.87

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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.