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Finding the Fourth Proportional to 7,225.10, 9,969.18 and 4,394

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Solution

The fourth proportional to 7,225.10, 9,969.18 and 4,394 is: 6,062.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.10 : 9,969.18 = 4,394 : x
  2. Step 2: Convert to fraction form
    7,225.10/9,969.18 = 4,394/x
  3. Step 3: Cross multiply
    7,225.10x = 9,969.18 × 4,394
  4. Step 4: Simplify right side
    7,225.10x = 43,804,576.92
  5. Step 5: Solve for x
    x = 43,804,576.92/7,225.10
  6. Step 6: Final answer
    x = 6,062.83

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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.