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Finding the Fourth Proportional to 9,666.96, 14,500.44 and 3,820.56

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Solution

The fourth proportional to 9,666.96, 14,500.44 and 3,820.56 is: 5,730.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.96 : 14,500.44 = 3,820.56 : x
  2. Step 2: Convert to fraction form
    9,666.96/14,500.44 = 3,820.56/x
  3. Step 3: Cross multiply
    9,666.96x = 14,500.44 × 3,820.56
  4. Step 4: Simplify right side
    9,666.96x = 55,399,801.05
  5. Step 5: Solve for x
    x = 55,399,801.05/9,666.96
  6. Step 6: Final answer
    x = 5,730.84

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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.