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Finding the Fourth Proportional to 15,735.94, 23,596.21 and 7,408.94

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Solution

The fourth proportional to 15,735.94, 23,596.21 and 7,408.94 is: 11,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.94 : 23,596.21 = 7,408.94 : x
  2. Step 2: Convert to fraction form
    15,735.94/23,596.21 = 7,408.94/x
  3. Step 3: Cross multiply
    15,735.94x = 23,596.21 × 7,408.94
  4. Step 4: Simplify right side
    15,735.94x = 174,822,795.40
  5. Step 5: Solve for x
    x = 174,822,795.40/15,735.94
  6. Step 6: Final answer
    x = 11,109.78

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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.