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Finding the Fourth Proportional to 23,788.84, 35,683.74 and 7,149.16

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Solution

The fourth proportional to 23,788.84, 35,683.74 and 7,149.16 is: 10,723.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,788.84 : 35,683.74 = 7,149.16 : x
  2. Step 2: Convert to fraction form
    23,788.84/35,683.74 = 7,149.16/x
  3. Step 3: Cross multiply
    23,788.84x = 35,683.74 × 7,149.16
  4. Step 4: Simplify right side
    23,788.84x = 255,108,766.66
  5. Step 5: Solve for x
    x = 255,108,766.66/23,788.84
  6. Step 6: Final answer
    x = 10,723.88

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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.