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Finding the Fourth Proportional to 9,662.37, 14,486.46 and 3,084.76

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Solution

The fourth proportional to 9,662.37, 14,486.46 and 3,084.76 is: 4,624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.37 : 14,486.46 = 3,084.76 : x
  2. Step 2: Convert to fraction form
    9,662.37/14,486.46 = 3,084.76/x
  3. Step 3: Cross multiply
    9,662.37x = 14,486.46 × 3,084.76
  4. Step 4: Simplify right side
    9,662.37x = 44,687,252.35
  5. Step 5: Solve for x
    x = 44,687,252.35/9,662.37
  6. Step 6: Final answer
    x = 4,624.87

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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.