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Finding the Fourth Proportional to 8,412.84, 11,525.63 and 8,097.54

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Solution

The fourth proportional to 8,412.84, 11,525.63 and 8,097.54 is: 11,093.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.84 : 11,525.63 = 8,097.54 : x
  2. Step 2: Convert to fraction form
    8,412.84/11,525.63 = 8,097.54/x
  3. Step 3: Cross multiply
    8,412.84x = 11,525.63 × 8,097.54
  4. Step 4: Simplify right side
    8,412.84x = 93,329,249.95
  5. Step 5: Solve for x
    x = 93,329,249.95/8,412.84
  6. Step 6: Final answer
    x = 11,093.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.