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Finding the Fourth Proportional to 11,536.14, 15,921.12 and 7,062.90

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Solution

The fourth proportional to 11,536.14, 15,921.12 and 7,062.90 is: 9,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.14 : 15,921.12 = 7,062.90 : x
  2. Step 2: Convert to fraction form
    11,536.14/15,921.12 = 7,062.90/x
  3. Step 3: Cross multiply
    11,536.14x = 15,921.12 × 7,062.90
  4. Step 4: Simplify right side
    11,536.14x = 112,449,278.45
  5. Step 5: Solve for x
    x = 112,449,278.45/11,536.14
  6. Step 6: Final answer
    x = 9,747.57

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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.