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Finding the Fourth Proportional to 6,369.63, 9,548.69 and 2,264.67

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Solution

The fourth proportional to 6,369.63, 9,548.69 and 2,264.67 is: 3,394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.63 : 9,548.69 = 2,264.67 : x
  2. Step 2: Convert to fraction form
    6,369.63/9,548.69 = 2,264.67/x
  3. Step 3: Cross multiply
    6,369.63x = 9,548.69 × 2,264.67
  4. Step 4: Simplify right side
    6,369.63x = 21,624,620.46
  5. Step 5: Solve for x
    x = 21,624,620.46/6,369.63
  6. Step 6: Final answer
    x = 3,394.96

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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.