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Finding the Fourth Proportional to 7,888.94, 11,833.14 and 3,207.56

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Solution

The fourth proportional to 7,888.94, 11,833.14 and 3,207.56 is: 4,811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.94 : 11,833.14 = 3,207.56 : x
  2. Step 2: Convert to fraction form
    7,888.94/11,833.14 = 3,207.56/x
  3. Step 3: Cross multiply
    7,888.94x = 11,833.14 × 3,207.56
  4. Step 4: Simplify right side
    7,888.94x = 37,955,506.54
  5. Step 5: Solve for x
    x = 37,955,506.54/7,888.94
  6. Step 6: Final answer
    x = 4,811.23

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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.