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Finding the Fourth Proportional to 9,010.71, 13,507.56 and 3,163.50

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Solution

The fourth proportional to 9,010.71, 13,507.56 and 3,163.50 is: 4,742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,010.71 : 13,507.56 = 3,163.50 : x
  2. Step 2: Convert to fraction form
    9,010.71/13,507.56 = 3,163.50/x
  3. Step 3: Cross multiply
    9,010.71x = 13,507.56 × 3,163.50
  4. Step 4: Simplify right side
    9,010.71x = 42,731,166.06
  5. Step 5: Solve for x
    x = 42,731,166.06/9,010.71
  6. Step 6: Final answer
    x = 4,742.26

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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.