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Finding the Fourth Proportional to 21,760.28, 32,642.58 and 6,965.48

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Solution

The fourth proportional to 21,760.28, 32,642.58 and 6,965.48 is: 10,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,760.28 : 32,642.58 = 6,965.48 : x
  2. Step 2: Convert to fraction form
    21,760.28/32,642.58 = 6,965.48/x
  3. Step 3: Cross multiply
    21,760.28x = 32,642.58 × 6,965.48
  4. Step 4: Simplify right side
    21,760.28x = 227,371,238.14
  5. Step 5: Solve for x
    x = 227,371,238.14/21,760.28
  6. Step 6: Final answer
    x = 10,448.91

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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.