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Finding the Fourth Proportional to 3,756.56, 5,634.36 and 983.07

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Solution

The fourth proportional to 3,756.56, 5,634.36 and 983.07 is: 1,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.56 : 5,634.36 = 983.07 : x
  2. Step 2: Convert to fraction form
    3,756.56/5,634.36 = 983.07/x
  3. Step 3: Cross multiply
    3,756.56x = 5,634.36 × 983.07
  4. Step 4: Simplify right side
    3,756.56x = 5,538,970.29
  5. Step 5: Solve for x
    x = 5,538,970.29/3,756.56
  6. Step 6: Final answer
    x = 1,474.48

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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.