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Finding the Fourth Proportional to 8,523.59, 12,784.46 and 2,284.22

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Solution

The fourth proportional to 8,523.59, 12,784.46 and 2,284.22 is: 3,426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.59 : 12,784.46 = 2,284.22 : x
  2. Step 2: Convert to fraction form
    8,523.59/12,784.46 = 2,284.22/x
  3. Step 3: Cross multiply
    8,523.59x = 12,784.46 × 2,284.22
  4. Step 4: Simplify right side
    8,523.59x = 29,202,443.88
  5. Step 5: Solve for x
    x = 29,202,443.88/8,523.59
  6. Step 6: Final answer
    x = 3,426.08

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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.