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Finding the Fourth Proportional to 6,386.14, 9,578.72 and 2,003.50

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Solution

The fourth proportional to 6,386.14, 9,578.72 and 2,003.50 is: 3,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.14 : 9,578.72 = 2,003.50 : x
  2. Step 2: Convert to fraction form
    6,386.14/9,578.72 = 2,003.50/x
  3. Step 3: Cross multiply
    6,386.14x = 9,578.72 × 2,003.50
  4. Step 4: Simplify right side
    6,386.14x = 19,190,982.50
  5. Step 5: Solve for x
    x = 19,190,982.50/6,386.14
  6. Step 6: Final answer
    x = 3,005.10

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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.