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Finding the Fourth Proportional to 6,993.44, 10,496.64 and 3,533.12

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Solution

The fourth proportional to 6,993.44, 10,496.64 and 3,533.12 is: 5,302.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.44 : 10,496.64 = 3,533.12 : x
  2. Step 2: Convert to fraction form
    6,993.44/10,496.64 = 3,533.12/x
  3. Step 3: Cross multiply
    6,993.44x = 10,496.64 × 3,533.12
  4. Step 4: Simplify right side
    6,993.44x = 37,085,888.72
  5. Step 5: Solve for x
    x = 37,085,888.72/6,993.44
  6. Step 6: Final answer
    x = 5,302.95

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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.