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Finding the Fourth Proportional to 7,833.90, 11,751.24 and 3,933.74

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Solution

The fourth proportional to 7,833.90, 11,751.24 and 3,933.74 is: 5,900.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.90 : 11,751.24 = 3,933.74 : x
  2. Step 2: Convert to fraction form
    7,833.90/11,751.24 = 3,933.74/x
  3. Step 3: Cross multiply
    7,833.90x = 11,751.24 × 3,933.74
  4. Step 4: Simplify right side
    7,833.90x = 46,226,322.84
  5. Step 5: Solve for x
    x = 46,226,322.84/7,833.90
  6. Step 6: Final answer
    x = 5,900.81

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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.