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Finding the Fourth Proportional to 6,969.49, 10,455.22 and 2,039.50

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Solution

The fourth proportional to 6,969.49, 10,455.22 and 2,039.50 is: 3,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.49 : 10,455.22 = 2,039.50 : x
  2. Step 2: Convert to fraction form
    6,969.49/10,455.22 = 2,039.50/x
  3. Step 3: Cross multiply
    6,969.49x = 10,455.22 × 2,039.50
  4. Step 4: Simplify right side
    6,969.49x = 21,323,421.19
  5. Step 5: Solve for x
    x = 21,323,421.19/6,969.49
  6. Step 6: Final answer
    x = 3,059.54

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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.