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Finding the Fourth Proportional to 8,536.88, 11,775.14 and 7,415.87

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Solution

The fourth proportional to 8,536.88, 11,775.14 and 7,415.87 is: 10,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.88 : 11,775.14 = 7,415.87 : x
  2. Step 2: Convert to fraction form
    8,536.88/11,775.14 = 7,415.87/x
  3. Step 3: Cross multiply
    8,536.88x = 11,775.14 × 7,415.87
  4. Step 4: Simplify right side
    8,536.88x = 87,322,811.52
  5. Step 5: Solve for x
    x = 87,322,811.52/8,536.88
  6. Step 6: Final answer
    x = 10,228.90

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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.