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Finding the Fourth Proportional to 7,586.82, 11,362.80 and 7,324.16

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Solution

The fourth proportional to 7,586.82, 11,362.80 and 7,324.16 is: 10,969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.82 : 11,362.80 = 7,324.16 : x
  2. Step 2: Convert to fraction form
    7,586.82/11,362.80 = 7,324.16/x
  3. Step 3: Cross multiply
    7,586.82x = 11,362.80 × 7,324.16
  4. Step 4: Simplify right side
    7,586.82x = 83,222,908.43
  5. Step 5: Solve for x
    x = 83,222,908.43/7,586.82
  6. Step 6: Final answer
    x = 10,969.41

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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.