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Finding the Fourth Proportional to 4,573.68, 6,856.84 and 4,209.12

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Solution

The fourth proportional to 4,573.68, 6,856.84 and 4,209.12 is: 6,310.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.68 : 6,856.84 = 4,209.12 : x
  2. Step 2: Convert to fraction form
    4,573.68/6,856.84 = 4,209.12/x
  3. Step 3: Cross multiply
    4,573.68x = 6,856.84 × 4,209.12
  4. Step 4: Simplify right side
    4,573.68x = 28,861,262.38
  5. Step 5: Solve for x
    x = 28,861,262.38/4,573.68
  6. Step 6: Final answer
    x = 6,310.29

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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.