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Finding the Fourth Proportional to 7,265.63, 10,898.54 and 2,071.50

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Solution

The fourth proportional to 7,265.63, 10,898.54 and 2,071.50 is: 3,107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.63 : 10,898.54 = 2,071.50 : x
  2. Step 2: Convert to fraction form
    7,265.63/10,898.54 = 2,071.50/x
  3. Step 3: Cross multiply
    7,265.63x = 10,898.54 × 2,071.50
  4. Step 4: Simplify right side
    7,265.63x = 22,576,323.02
  5. Step 5: Solve for x
    x = 22,576,323.02/7,265.63
  6. Step 6: Final answer
    x = 3,107.28

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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.