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Finding the Fourth Proportional to 24,731.22, 37,102.77 and 7,201.20

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Solution

The fourth proportional to 24,731.22, 37,102.77 and 7,201.20 is: 10,803.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731.22 : 37,102.77 = 7,201.20 : x
  2. Step 2: Convert to fraction form
    24,731.22/37,102.77 = 7,201.20/x
  3. Step 3: Cross multiply
    24,731.22x = 37,102.77 × 7,201.20
  4. Step 4: Simplify right side
    24,731.22x = 267,184,467.32
  5. Step 5: Solve for x
    x = 267,184,467.32/24,731.22
  6. Step 6: Final answer
    x = 10,803.53

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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.