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Finding the Fourth Proportional to 6,842.52, 9,442.44 and 4,194.36

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Solution

The fourth proportional to 6,842.52, 9,442.44 and 4,194.36 is: 5,788.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.52 : 9,442.44 = 4,194.36 : x
  2. Step 2: Convert to fraction form
    6,842.52/9,442.44 = 4,194.36/x
  3. Step 3: Cross multiply
    6,842.52x = 9,442.44 × 4,194.36
  4. Step 4: Simplify right side
    6,842.52x = 39,604,992.64
  5. Step 5: Solve for x
    x = 39,604,992.64/6,842.52
  6. Step 6: Final answer
    x = 5,788.07

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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.