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Finding the Fourth Proportional to 6,071.66, 9,107.50 and 1,689.11

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Solution

The fourth proportional to 6,071.66, 9,107.50 and 1,689.11 is: 2,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.66 : 9,107.50 = 1,689.11 : x
  2. Step 2: Convert to fraction form
    6,071.66/9,107.50 = 1,689.11/x
  3. Step 3: Cross multiply
    6,071.66x = 9,107.50 × 1,689.11
  4. Step 4: Simplify right side
    6,071.66x = 15,383,560.88
  5. Step 5: Solve for x
    x = 15,383,560.88/6,071.66
  6. Step 6: Final answer
    x = 2,533.67

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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.