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Finding the Fourth Proportional to 9,234.64, 12,745.44 and 5,457.64

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Solution

The fourth proportional to 9,234.64, 12,745.44 and 5,457.64 is: 7,532.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.64 : 12,745.44 = 5,457.64 : x
  2. Step 2: Convert to fraction form
    9,234.64/12,745.44 = 5,457.64/x
  3. Step 3: Cross multiply
    9,234.64x = 12,745.44 × 5,457.64
  4. Step 4: Simplify right side
    9,234.64x = 69,560,023.16
  5. Step 5: Solve for x
    x = 69,560,023.16/9,234.64
  6. Step 6: Final answer
    x = 7,532.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.