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Finding the Fourth Proportional to 15,768.12, 23,661.34 and 5,914.26

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Solution

The fourth proportional to 15,768.12, 23,661.34 and 5,914.26 is: 8,874.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,768.12 : 23,661.34 = 5,914.26 : x
  2. Step 2: Convert to fraction form
    15,768.12/23,661.34 = 5,914.26/x
  3. Step 3: Cross multiply
    15,768.12x = 23,661.34 × 5,914.26
  4. Step 4: Simplify right side
    15,768.12x = 139,939,316.71
  5. Step 5: Solve for x
    x = 139,939,316.71/15,768.12
  6. Step 6: Final answer
    x = 8,874.83

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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.