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Finding the Fourth Proportional to 21,574.59, 32,361.89 and 6,784.80

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Solution

The fourth proportional to 21,574.59, 32,361.89 and 6,784.80 is: 10,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.59 : 32,361.89 = 6,784.80 : x
  2. Step 2: Convert to fraction form
    21,574.59/32,361.89 = 6,784.80/x
  3. Step 3: Cross multiply
    21,574.59x = 32,361.89 × 6,784.80
  4. Step 4: Simplify right side
    21,574.59x = 219,568,917.35
  5. Step 5: Solve for x
    x = 219,568,917.35/21,574.59
  6. Step 6: Final answer
    x = 10,177.20

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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.