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Finding the Fourth Proportional to 21,732.51, 32,596.03 and 6,940.20

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Solution

The fourth proportional to 21,732.51, 32,596.03 and 6,940.20 is: 10,409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,732.51 : 32,596.03 = 6,940.20 : x
  2. Step 2: Convert to fraction form
    21,732.51/32,596.03 = 6,940.20/x
  3. Step 3: Cross multiply
    21,732.51x = 32,596.03 × 6,940.20
  4. Step 4: Simplify right side
    21,732.51x = 226,222,967.41
  5. Step 5: Solve for x
    x = 226,222,967.41/21,732.51
  6. Step 6: Final answer
    x = 10,409.43

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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.