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Finding the Fourth Proportional to 7,533.84, 11,296.84 and 4,414.56

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Solution

The fourth proportional to 7,533.84, 11,296.84 and 4,414.56 is: 6,619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533.84 : 11,296.84 = 4,414.56 : x
  2. Step 2: Convert to fraction form
    7,533.84/11,296.84 = 4,414.56/x
  3. Step 3: Cross multiply
    7,533.84x = 11,296.84 × 4,414.56
  4. Step 4: Simplify right side
    7,533.84x = 49,870,577.99
  5. Step 5: Solve for x
    x = 49,870,577.99/7,533.84
  6. Step 6: Final answer
    x = 6,619.54

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1.5x scale

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.