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Finding the Fourth Proportional to 4,145.99, 6,217.16 and 1,804.68

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Solution

The fourth proportional to 4,145.99, 6,217.16 and 1,804.68 is: 2,706.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.99 : 6,217.16 = 1,804.68 : x
  2. Step 2: Convert to fraction form
    4,145.99/6,217.16 = 1,804.68/x
  3. Step 3: Cross multiply
    4,145.99x = 6,217.16 × 1,804.68
  4. Step 4: Simplify right side
    4,145.99x = 11,219,975.29
  5. Step 5: Solve for x
    x = 11,219,975.29/4,145.99
  6. Step 6: Final answer
    x = 2,706.23

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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.