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Finding the Fourth Proportional to 9,807.21, 14,706.09 and 3,230.82

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Solution

The fourth proportional to 9,807.21, 14,706.09 and 3,230.82 is: 4,844.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.21 : 14,706.09 = 3,230.82 : x
  2. Step 2: Convert to fraction form
    9,807.21/14,706.09 = 3,230.82/x
  3. Step 3: Cross multiply
    9,807.21x = 14,706.09 × 3,230.82
  4. Step 4: Simplify right side
    9,807.21x = 47,512,729.69
  5. Step 5: Solve for x
    x = 47,512,729.69/9,807.21
  6. Step 6: Final answer
    x = 4,844.67

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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.