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Finding the Fourth Proportional to 23,683.92, 35,487 and 8,093.04

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Solution

The fourth proportional to 23,683.92, 35,487 and 8,093.04 is: 12,126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,683.92 : 35,487 = 8,093.04 : x
  2. Step 2: Convert to fraction form
    23,683.92/35,487 = 8,093.04/x
  3. Step 3: Cross multiply
    23,683.92x = 35,487 × 8,093.04
  4. Step 4: Simplify right side
    23,683.92x = 287,197,710.48
  5. Step 5: Solve for x
    x = 287,197,710.48/23,683.92
  6. Step 6: Final answer
    x = 12,126.27

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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.