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Finding the Fourth Proportional to 6,094.35, 9,142.49 and 2,346

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Solution

The fourth proportional to 6,094.35, 9,142.49 and 2,346 is: 3,519.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.35 : 9,142.49 = 2,346 : x
  2. Step 2: Convert to fraction form
    6,094.35/9,142.49 = 2,346/x
  3. Step 3: Cross multiply
    6,094.35x = 9,142.49 × 2,346
  4. Step 4: Simplify right side
    6,094.35x = 21,448,287.41
  5. Step 5: Solve for x
    x = 21,448,287.41/6,094.35
  6. Step 6: Final answer
    x = 3,519.37

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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.