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Finding the Fourth Proportional to 7,644.72, 11,447.64 and 7,003.20

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Solution

The fourth proportional to 7,644.72, 11,447.64 and 7,003.20 is: 10,486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.72 : 11,447.64 = 7,003.20 : x
  2. Step 2: Convert to fraction form
    7,644.72/11,447.64 = 7,003.20/x
  3. Step 3: Cross multiply
    7,644.72x = 11,447.64 × 7,003.20
  4. Step 4: Simplify right side
    7,644.72x = 80,170,112.45
  5. Step 5: Solve for x
    x = 80,170,112.45/7,644.72
  6. Step 6: Final answer
    x = 10,486.99

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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.