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Finding the Fourth Proportional to 6,700.21, 9,246.85 and 3,717

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Solution

The fourth proportional to 6,700.21, 9,246.85 and 3,717 is: 5,129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.21 : 9,246.85 = 3,717 : x
  2. Step 2: Convert to fraction form
    6,700.21/9,246.85 = 3,717/x
  3. Step 3: Cross multiply
    6,700.21x = 9,246.85 × 3,717
  4. Step 4: Simplify right side
    6,700.21x = 34,370,541.45
  5. Step 5: Solve for x
    x = 34,370,541.45/6,700.21
  6. Step 6: Final answer
    x = 5,129.77

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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.