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Finding the Fourth Proportional to 9,509.74, 14,257.08 and 4,825.44

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Solution

The fourth proportional to 9,509.74, 14,257.08 and 4,825.44 is: 7,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.74 : 14,257.08 = 4,825.44 : x
  2. Step 2: Convert to fraction form
    9,509.74/14,257.08 = 4,825.44/x
  3. Step 3: Cross multiply
    9,509.74x = 14,257.08 × 4,825.44
  4. Step 4: Simplify right side
    9,509.74x = 68,796,684.12
  5. Step 5: Solve for x
    x = 68,796,684.12/9,509.74
  6. Step 6: Final answer
    x = 7,234.34

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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.