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Finding the Fourth Proportional to 9,509.69, 14,264.52 and 3,662.20

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Solution

The fourth proportional to 9,509.69, 14,264.52 and 3,662.20 is: 5,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.69 : 14,264.52 = 3,662.20 : x
  2. Step 2: Convert to fraction form
    9,509.69/14,264.52 = 3,662.20/x
  3. Step 3: Cross multiply
    9,509.69x = 14,264.52 × 3,662.20
  4. Step 4: Simplify right side
    9,509.69x = 52,239,496.35
  5. Step 5: Solve for x
    x = 52,239,496.35/9,509.69
  6. Step 6: Final answer
    x = 5,493.29

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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.