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Finding the Fourth Proportional to 4,600.56, 6,900.72 and 1,828.72

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Solution

The fourth proportional to 4,600.56, 6,900.72 and 1,828.72 is: 2,743.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.56 : 6,900.72 = 1,828.72 : x
  2. Step 2: Convert to fraction form
    4,600.56/6,900.72 = 1,828.72/x
  3. Step 3: Cross multiply
    4,600.56x = 6,900.72 × 1,828.72
  4. Step 4: Simplify right side
    4,600.56x = 12,619,484.68
  5. Step 5: Solve for x
    x = 12,619,484.68/4,600.56
  6. Step 6: Final answer
    x = 2,743.03

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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.