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Finding the Fourth Proportional to 3,950.96, 5,927.45 and 1,177.63

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Solution

The fourth proportional to 3,950.96, 5,927.45 and 1,177.63 is: 1,766.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.96 : 5,927.45 = 1,177.63 : x
  2. Step 2: Convert to fraction form
    3,950.96/5,927.45 = 1,177.63/x
  3. Step 3: Cross multiply
    3,950.96x = 5,927.45 × 1,177.63
  4. Step 4: Simplify right side
    3,950.96x = 6,980,322.24
  5. Step 5: Solve for x
    x = 6,980,322.24/3,950.96
  6. Step 6: Final answer
    x = 1,766.74

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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.