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Finding the Fourth Proportional to 6,709.08, 10,064.70 and 2,091

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Solution

The fourth proportional to 6,709.08, 10,064.70 and 2,091 is: 3,136.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.08 : 10,064.70 = 2,091 : x
  2. Step 2: Convert to fraction form
    6,709.08/10,064.70 = 2,091/x
  3. Step 3: Cross multiply
    6,709.08x = 10,064.70 × 2,091
  4. Step 4: Simplify right side
    6,709.08x = 21,045,287.70
  5. Step 5: Solve for x
    x = 21,045,287.70/6,709.08
  6. Step 6: Final answer
    x = 3,136.84

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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.