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Finding the Fourth Proportional to 15,694, 23,539.27 and 4,600.80

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Solution

The fourth proportional to 15,694, 23,539.27 and 4,600.80 is: 6,900.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,694 : 23,539.27 = 4,600.80 : x
  2. Step 2: Convert to fraction form
    15,694/23,539.27 = 4,600.80/x
  3. Step 3: Cross multiply
    15,694x = 23,539.27 × 4,600.80
  4. Step 4: Simplify right side
    15,694x = 108,299,473.42
  5. Step 5: Solve for x
    x = 108,299,473.42/15,694
  6. Step 6: Final answer
    x = 6,900.69

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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.