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Finding the Fourth Proportional to 21,649.91, 32,475.78 and 6,858.50

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Solution

The fourth proportional to 21,649.91, 32,475.78 and 6,858.50 is: 10,288.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,649.91 : 32,475.78 = 6,858.50 : x
  2. Step 2: Convert to fraction form
    21,649.91/32,475.78 = 6,858.50/x
  3. Step 3: Cross multiply
    21,649.91x = 32,475.78 × 6,858.50
  4. Step 4: Simplify right side
    21,649.91x = 222,734,974.75
  5. Step 5: Solve for x
    x = 222,734,974.75/21,649.91
  6. Step 6: Final answer
    x = 10,288.03

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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.