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Finding the Fourth Proportional to 4,611.56, 6,910.86 and 2,009.03

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Solution

The fourth proportional to 4,611.56, 6,910.86 and 2,009.03 is: 3,010.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.56 : 6,910.86 = 2,009.03 : x
  2. Step 2: Convert to fraction form
    4,611.56/6,910.86 = 2,009.03/x
  3. Step 3: Cross multiply
    4,611.56x = 6,910.86 × 2,009.03
  4. Step 4: Simplify right side
    4,611.56x = 13,884,125.07
  5. Step 5: Solve for x
    x = 13,884,125.07/4,611.56
  6. Step 6: Final answer
    x = 3,010.72

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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.