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Finding the Fourth Proportional to 3,969.40, 5,953.76 and 1,047.62

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Solution

The fourth proportional to 3,969.40, 5,953.76 and 1,047.62 is: 1,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.40 : 5,953.76 = 1,047.62 : x
  2. Step 2: Convert to fraction form
    3,969.40/5,953.76 = 1,047.62/x
  3. Step 3: Cross multiply
    3,969.40x = 5,953.76 × 1,047.62
  4. Step 4: Simplify right side
    3,969.40x = 6,237,278.05
  5. Step 5: Solve for x
    x = 6,237,278.05/3,969.40
  6. Step 6: Final answer
    x = 1,571.34

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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.