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Finding the Fourth Proportional to 4,704.74, 7,051.74 and 2,236.06

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Solution

The fourth proportional to 4,704.74, 7,051.74 and 2,236.06 is: 3,351.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.74 : 7,051.74 = 2,236.06 : x
  2. Step 2: Convert to fraction form
    4,704.74/7,051.74 = 2,236.06/x
  3. Step 3: Cross multiply
    4,704.74x = 7,051.74 × 2,236.06
  4. Step 4: Simplify right side
    4,704.74x = 15,768,113.74
  5. Step 5: Solve for x
    x = 15,768,113.74/4,704.74
  6. Step 6: Final answer
    x = 3,351.54

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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.