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Finding the Fourth Proportional to 6,897.03, 9,512.38 and 4,506.82

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Solution

The fourth proportional to 6,897.03, 9,512.38 and 4,506.82 is: 6,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.03 : 9,512.38 = 4,506.82 : x
  2. Step 2: Convert to fraction form
    6,897.03/9,512.38 = 4,506.82/x
  3. Step 3: Cross multiply
    6,897.03x = 9,512.38 × 4,506.82
  4. Step 4: Simplify right side
    6,897.03x = 42,870,584.43
  5. Step 5: Solve for x
    x = 42,870,584.43/6,897.03
  6. Step 6: Final answer
    x = 6,215.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.