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Finding the Fourth Proportional to 6,305, 9,443.98 and 3,013.16

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Solution

The fourth proportional to 6,305, 9,443.98 and 3,013.16 is: 4,513.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305 : 9,443.98 = 3,013.16 : x
  2. Step 2: Convert to fraction form
    6,305/9,443.98 = 3,013.16/x
  3. Step 3: Cross multiply
    6,305x = 9,443.98 × 3,013.16
  4. Step 4: Simplify right side
    6,305x = 28,456,222.78
  5. Step 5: Solve for x
    x = 28,456,222.78/6,305
  6. Step 6: Final answer
    x = 4,513.28

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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.