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Finding the Fourth Proportional to 4,863.49, 6,711 and 3,070.30

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Solution

The fourth proportional to 4,863.49, 6,711 and 3,070.30 is: 4,236.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.49 : 6,711 = 3,070.30 : x
  2. Step 2: Convert to fraction form
    4,863.49/6,711 = 3,070.30/x
  3. Step 3: Cross multiply
    4,863.49x = 6,711 × 3,070.30
  4. Step 4: Simplify right side
    4,863.49x = 20,604,783.30
  5. Step 5: Solve for x
    x = 20,604,783.30/4,863.49
  6. Step 6: Final answer
    x = 4,236.62

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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.