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Finding the Fourth Proportional to 11,507.96, 15,891.39 and 7,266.53

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Solution

The fourth proportional to 11,507.96, 15,891.39 and 7,266.53 is: 10,034.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.96 : 15,891.39 = 7,266.53 : x
  2. Step 2: Convert to fraction form
    11,507.96/15,891.39 = 7,266.53/x
  3. Step 3: Cross multiply
    11,507.96x = 15,891.39 × 7,266.53
  4. Step 4: Simplify right side
    11,507.96x = 115,475,262.18
  5. Step 5: Solve for x
    x = 115,475,262.18/11,507.96
  6. Step 6: Final answer
    x = 10,034.38

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1.5x scale

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.