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Finding the Fourth Proportional to 11,693.92, 17,539 and 4,296.56

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Solution

The fourth proportional to 11,693.92, 17,539 and 4,296.56 is: 6,444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.92 : 17,539 = 4,296.56 : x
  2. Step 2: Convert to fraction form
    11,693.92/17,539 = 4,296.56/x
  3. Step 3: Cross multiply
    11,693.92x = 17,539 × 4,296.56
  4. Step 4: Simplify right side
    11,693.92x = 75,357,365.84
  5. Step 5: Solve for x
    x = 75,357,365.84/11,693.92
  6. Step 6: Final answer
    x = 6,444.15

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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.