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Finding the Fourth Proportional to 9,096, 13,647.20 and 4,482.24

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Solution

The fourth proportional to 9,096, 13,647.20 and 4,482.24 is: 6,724.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096 : 13,647.20 = 4,482.24 : x
  2. Step 2: Convert to fraction form
    9,096/13,647.20 = 4,482.24/x
  3. Step 3: Cross multiply
    9,096x = 13,647.20 × 4,482.24
  4. Step 4: Simplify right side
    9,096x = 61,170,025.73
  5. Step 5: Solve for x
    x = 61,170,025.73/9,096
  6. Step 6: Final answer
    x = 6,724.94

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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.