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Finding the Fourth Proportional to 21,771.54, 32,659.38 and 6,977.07

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Solution

The fourth proportional to 21,771.54, 32,659.38 and 6,977.07 is: 10,466.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,771.54 : 32,659.38 = 6,977.07 : x
  2. Step 2: Convert to fraction form
    21,771.54/32,659.38 = 6,977.07/x
  3. Step 3: Cross multiply
    21,771.54x = 32,659.38 × 6,977.07
  4. Step 4: Simplify right side
    21,771.54x = 227,866,780.42
  5. Step 5: Solve for x
    x = 227,866,780.42/21,771.54
  6. Step 6: Final answer
    x = 10,466.27

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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.