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Finding the Fourth Proportional to 6,094.84, 8,410.41 and 3,442.48

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Solution

The fourth proportional to 6,094.84, 8,410.41 and 3,442.48 is: 4,750.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.84 : 8,410.41 = 3,442.48 : x
  2. Step 2: Convert to fraction form
    6,094.84/8,410.41 = 3,442.48/x
  3. Step 3: Cross multiply
    6,094.84x = 8,410.41 × 3,442.48
  4. Step 4: Simplify right side
    6,094.84x = 28,952,668.22
  5. Step 5: Solve for x
    x = 28,952,668.22/6,094.84
  6. Step 6: Final answer
    x = 4,750.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.