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Finding the Fourth Proportional to 8,522.68, 12,784.02 and 2,282.74

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Solution

The fourth proportional to 8,522.68, 12,784.02 and 2,282.74 is: 3,424.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.68 : 12,784.02 = 2,282.74 : x
  2. Step 2: Convert to fraction form
    8,522.68/12,784.02 = 2,282.74/x
  3. Step 3: Cross multiply
    8,522.68x = 12,784.02 × 2,282.74
  4. Step 4: Simplify right side
    8,522.68x = 29,182,593.81
  5. Step 5: Solve for x
    x = 29,182,593.81/8,522.68
  6. Step 6: Final answer
    x = 3,424.11

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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.