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Finding the Fourth Proportional to 4,516.56, 6,775.04 and 1,983.49

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Solution

The fourth proportional to 4,516.56, 6,775.04 and 1,983.49 is: 2,975.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.56 : 6,775.04 = 1,983.49 : x
  2. Step 2: Convert to fraction form
    4,516.56/6,775.04 = 1,983.49/x
  3. Step 3: Cross multiply
    4,516.56x = 6,775.04 × 1,983.49
  4. Step 4: Simplify right side
    4,516.56x = 13,438,212.11
  5. Step 5: Solve for x
    x = 13,438,212.11/4,516.56
  6. Step 6: Final answer
    x = 2,975.32

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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.