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Finding the Fourth Proportional to 4,199.41, 6,300.83 and 2,964.16

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Solution

The fourth proportional to 4,199.41, 6,300.83 and 2,964.16 is: 4,447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.41 : 6,300.83 = 2,964.16 : x
  2. Step 2: Convert to fraction form
    4,199.41/6,300.83 = 2,964.16/x
  3. Step 3: Cross multiply
    4,199.41x = 6,300.83 × 2,964.16
  4. Step 4: Simplify right side
    4,199.41x = 18,676,668.25
  5. Step 5: Solve for x
    x = 18,676,668.25/4,199.41
  6. Step 6: Final answer
    x = 4,447.45

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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.