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Finding the Fourth Proportional to 6,299.66, 8,693.29 and 3,466.86

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Solution

The fourth proportional to 6,299.66, 8,693.29 and 3,466.86 is: 4,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.66 : 8,693.29 = 3,466.86 : x
  2. Step 2: Convert to fraction form
    6,299.66/8,693.29 = 3,466.86/x
  3. Step 3: Cross multiply
    6,299.66x = 8,693.29 × 3,466.86
  4. Step 4: Simplify right side
    6,299.66x = 30,138,419.37
  5. Step 5: Solve for x
    x = 30,138,419.37/6,299.66
  6. Step 6: Final answer
    x = 4,784.13

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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.