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Finding the Fourth Proportional to 6,094.40, 8,410.22 and 3,442.32

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Solution

The fourth proportional to 6,094.40, 8,410.22 and 3,442.32 is: 4,750.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.40 : 8,410.22 = 3,442.32 : x
  2. Step 2: Convert to fraction form
    6,094.40/8,410.22 = 3,442.32/x
  3. Step 3: Cross multiply
    6,094.40x = 8,410.22 × 3,442.32
  4. Step 4: Simplify right side
    6,094.40x = 28,950,668.51
  5. Step 5: Solve for x
    x = 28,950,668.51/6,094.40
  6. Step 6: Final answer
    x = 4,750.37

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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.