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Finding the Fourth Proportional to 6,071.40, 9,107.12 and 1,688.86

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Solution

The fourth proportional to 6,071.40, 9,107.12 and 1,688.86 is: 2,533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.40 : 9,107.12 = 1,688.86 : x
  2. Step 2: Convert to fraction form
    6,071.40/9,107.12 = 1,688.86/x
  3. Step 3: Cross multiply
    6,071.40x = 9,107.12 × 1,688.86
  4. Step 4: Simplify right side
    6,071.40x = 15,380,650.68
  5. Step 5: Solve for x
    x = 15,380,650.68/6,071.40
  6. Step 6: Final answer
    x = 2,533.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.