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Finding the Fourth Proportional to 7,094.43, 10,642.02 and 1,829.49

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Solution

The fourth proportional to 7,094.43, 10,642.02 and 1,829.49 is: 2,744.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.43 : 10,642.02 = 1,829.49 : x
  2. Step 2: Convert to fraction form
    7,094.43/10,642.02 = 1,829.49/x
  3. Step 3: Cross multiply
    7,094.43x = 10,642.02 × 1,829.49
  4. Step 4: Simplify right side
    7,094.43x = 19,469,469.17
  5. Step 5: Solve for x
    x = 19,469,469.17/7,094.43
  6. Step 6: Final answer
    x = 2,744.33

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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.