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Finding the Fourth Proportional to 7,213.56, 10,820.34 and 1,741.56

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Solution

The fourth proportional to 7,213.56, 10,820.34 and 1,741.56 is: 2,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.56 : 10,820.34 = 1,741.56 : x
  2. Step 2: Convert to fraction form
    7,213.56/10,820.34 = 1,741.56/x
  3. Step 3: Cross multiply
    7,213.56x = 10,820.34 × 1,741.56
  4. Step 4: Simplify right side
    7,213.56x = 18,844,271.33
  5. Step 5: Solve for x
    x = 18,844,271.33/7,213.56
  6. Step 6: Final answer
    x = 2,612.34

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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.