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Finding the Fourth Proportional to 9,100.31, 13,650.46 and 2,526.50

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Solution

The fourth proportional to 9,100.31, 13,650.46 and 2,526.50 is: 3,789.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.31 : 13,650.46 = 2,526.50 : x
  2. Step 2: Convert to fraction form
    9,100.31/13,650.46 = 2,526.50/x
  3. Step 3: Cross multiply
    9,100.31x = 13,650.46 × 2,526.50
  4. Step 4: Simplify right side
    9,100.31x = 34,487,838.22
  5. Step 5: Solve for x
    x = 34,487,838.22/9,100.31
  6. Step 6: Final answer
    x = 3,789.75

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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.