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Finding the Fourth Proportional to 11,969.54, 17,953.04 and 3,205.34

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Solution

The fourth proportional to 11,969.54, 17,953.04 and 3,205.34 is: 4,807.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.54 : 17,953.04 = 3,205.34 : x
  2. Step 2: Convert to fraction form
    11,969.54/17,953.04 = 3,205.34/x
  3. Step 3: Cross multiply
    11,969.54x = 17,953.04 × 3,205.34
  4. Step 4: Simplify right side
    11,969.54x = 57,545,597.23
  5. Step 5: Solve for x
    x = 57,545,597.23/11,969.54
  6. Step 6: Final answer
    x = 4,807.67

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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.