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Finding the Fourth Proportional to 7,446.63, 11,214.53 and 6,782.33

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Solution

The fourth proportional to 7,446.63, 11,214.53 and 6,782.33 is: 10,214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.63 : 11,214.53 = 6,782.33 : x
  2. Step 2: Convert to fraction form
    7,446.63/11,214.53 = 6,782.33/x
  3. Step 3: Cross multiply
    7,446.63x = 11,214.53 × 6,782.33
  4. Step 4: Simplify right side
    7,446.63x = 76,060,553.27
  5. Step 5: Solve for x
    x = 76,060,553.27/7,446.63
  6. Step 6: Final answer
    x = 10,214.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.