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Finding the Fourth Proportional to 7,094.46, 10,642.30 and 1,829.42

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Solution

The fourth proportional to 7,094.46, 10,642.30 and 1,829.42 is: 2,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.46 : 10,642.30 = 1,829.42 : x
  2. Step 2: Convert to fraction form
    7,094.46/10,642.30 = 1,829.42/x
  3. Step 3: Cross multiply
    7,094.46x = 10,642.30 × 1,829.42
  4. Step 4: Simplify right side
    7,094.46x = 19,469,258.50
  5. Step 5: Solve for x
    x = 19,469,258.50/7,094.46
  6. Step 6: Final answer
    x = 2,744.29

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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.