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Finding the Fourth Proportional to 6,809.03, 10,210.91 and 2,648.47

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Solution

The fourth proportional to 6,809.03, 10,210.91 and 2,648.47 is: 3,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.03 : 10,210.91 = 2,648.47 : x
  2. Step 2: Convert to fraction form
    6,809.03/10,210.91 = 2,648.47/x
  3. Step 3: Cross multiply
    6,809.03x = 10,210.91 × 2,648.47
  4. Step 4: Simplify right side
    6,809.03x = 27,043,288.81
  5. Step 5: Solve for x
    x = 27,043,288.81/6,809.03
  6. Step 6: Final answer
    x = 3,971.68

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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.