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Finding the Fourth Proportional to 6,670.32, 10,003.32 and 2,287.68

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Solution

The fourth proportional to 6,670.32, 10,003.32 and 2,287.68 is: 3,430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.32 : 10,003.32 = 2,287.68 : x
  2. Step 2: Convert to fraction form
    6,670.32/10,003.32 = 2,287.68/x
  3. Step 3: Cross multiply
    6,670.32x = 10,003.32 × 2,287.68
  4. Step 4: Simplify right side
    6,670.32x = 22,884,395.10
  5. Step 5: Solve for x
    x = 22,884,395.10/6,670.32
  6. Step 6: Final answer
    x = 3,430.78

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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.