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Finding the Fourth Proportional to 7,265.50, 10,898.39 and 2,071.51

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Solution

The fourth proportional to 7,265.50, 10,898.39 and 2,071.51 is: 3,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.50 : 10,898.39 = 2,071.51 : x
  2. Step 2: Convert to fraction form
    7,265.50/10,898.39 = 2,071.51/x
  3. Step 3: Cross multiply
    7,265.50x = 10,898.39 × 2,071.51
  4. Step 4: Simplify right side
    7,265.50x = 22,576,123.87
  5. Step 5: Solve for x
    x = 22,576,123.87/7,265.50
  6. Step 6: Final answer
    x = 3,107.30

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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.