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Finding the Fourth Proportional to 6,143.64, 8,478.48 and 3,349.20

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Solution

The fourth proportional to 6,143.64, 8,478.48 and 3,349.20 is: 4,622.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.64 : 8,478.48 = 3,349.20 : x
  2. Step 2: Convert to fraction form
    6,143.64/8,478.48 = 3,349.20/x
  3. Step 3: Cross multiply
    6,143.64x = 8,478.48 × 3,349.20
  4. Step 4: Simplify right side
    6,143.64x = 28,396,125.22
  5. Step 5: Solve for x
    x = 28,396,125.22/6,143.64
  6. Step 6: Final answer
    x = 4,622.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.