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Finding the Fourth Proportional to 8,523.42, 12,774.09 and 6,880.62

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Solution

The fourth proportional to 8,523.42, 12,774.09 and 6,880.62 is: 10,312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.42 : 12,774.09 = 6,880.62 : x
  2. Step 2: Convert to fraction form
    8,523.42/12,774.09 = 6,880.62/x
  3. Step 3: Cross multiply
    8,523.42x = 12,774.09 × 6,880.62
  4. Step 4: Simplify right side
    8,523.42x = 87,893,659.14
  5. Step 5: Solve for x
    x = 87,893,659.14/8,523.42
  6. Step 6: Final answer
    x = 10,312.02

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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.