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Finding the Fourth Proportional to 4,047.72, 6,072.74 and 1,450.84

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Solution

The fourth proportional to 4,047.72, 6,072.74 and 1,450.84 is: 2,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.72 : 6,072.74 = 1,450.84 : x
  2. Step 2: Convert to fraction form
    4,047.72/6,072.74 = 1,450.84/x
  3. Step 3: Cross multiply
    4,047.72x = 6,072.74 × 1,450.84
  4. Step 4: Simplify right side
    4,047.72x = 8,810,574.10
  5. Step 5: Solve for x
    x = 8,810,574.10/4,047.72
  6. Step 6: Final answer
    x = 2,176.68

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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.