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Finding the Fourth Proportional to 4,949.64, 6,830.62 and 2,711.62

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Solution

The fourth proportional to 4,949.64, 6,830.62 and 2,711.62 is: 3,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.64 : 6,830.62 = 2,711.62 : x
  2. Step 2: Convert to fraction form
    4,949.64/6,830.62 = 2,711.62/x
  3. Step 3: Cross multiply
    4,949.64x = 6,830.62 × 2,711.62
  4. Step 4: Simplify right side
    4,949.64x = 18,522,045.80
  5. Step 5: Solve for x
    x = 18,522,045.80/4,949.64
  6. Step 6: Final answer
    x = 3,742.10

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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.