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Finding the Fourth Proportional to 6,305.04, 9,448.71 and 4,982.98

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Solution

The fourth proportional to 6,305.04, 9,448.71 and 4,982.98 is: 7,467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.04 : 9,448.71 = 4,982.98 : x
  2. Step 2: Convert to fraction form
    6,305.04/9,448.71 = 4,982.98/x
  3. Step 3: Cross multiply
    6,305.04x = 9,448.71 × 4,982.98
  4. Step 4: Simplify right side
    6,305.04x = 47,082,708.04
  5. Step 5: Solve for x
    x = 47,082,708.04/6,305.04
  6. Step 6: Final answer
    x = 7,467.47

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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.