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Finding the Fourth Proportional to 9,643.61, 14,467.82 and 3,800.67

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Solution

The fourth proportional to 9,643.61, 14,467.82 and 3,800.67 is: 5,701.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.61 : 14,467.82 = 3,800.67 : x
  2. Step 2: Convert to fraction form
    9,643.61/14,467.82 = 3,800.67/x
  3. Step 3: Cross multiply
    9,643.61x = 14,467.82 × 3,800.67
  4. Step 4: Simplify right side
    9,643.61x = 54,987,390.44
  5. Step 5: Solve for x
    x = 54,987,390.44/9,643.61
  6. Step 6: Final answer
    x = 5,701.95

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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.