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Finding the Fourth Proportional to 6,398.04, 9,584.34 and 5,004.87

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Solution

The fourth proportional to 6,398.04, 9,584.34 and 5,004.87 is: 7,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.04 : 9,584.34 = 5,004.87 : x
  2. Step 2: Convert to fraction form
    6,398.04/9,584.34 = 5,004.87/x
  3. Step 3: Cross multiply
    6,398.04x = 9,584.34 × 5,004.87
  4. Step 4: Simplify right side
    6,398.04x = 47,968,375.74
  5. Step 5: Solve for x
    x = 47,968,375.74/6,398.04
  6. Step 6: Final answer
    x = 7,497.35

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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.