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Finding the Fourth Proportional to 23,710.82, 35,566.23 and 7,082.52

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Solution

The fourth proportional to 23,710.82, 35,566.23 and 7,082.52 is: 10,623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,710.82 : 35,566.23 = 7,082.52 : x
  2. Step 2: Convert to fraction form
    23,710.82/35,566.23 = 7,082.52/x
  3. Step 3: Cross multiply
    23,710.82x = 35,566.23 × 7,082.52
  4. Step 4: Simplify right side
    23,710.82x = 251,898,535.30
  5. Step 5: Solve for x
    x = 251,898,535.30/23,710.82
  6. Step 6: Final answer
    x = 10,623.78

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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.