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Finding the Fourth Proportional to 4,195.51, 6,293.51 and 1,729.48

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Solution

The fourth proportional to 4,195.51, 6,293.51 and 1,729.48 is: 2,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.51 : 6,293.51 = 1,729.48 : x
  2. Step 2: Convert to fraction form
    4,195.51/6,293.51 = 1,729.48/x
  3. Step 3: Cross multiply
    4,195.51x = 6,293.51 × 1,729.48
  4. Step 4: Simplify right side
    4,195.51x = 10,884,478.31
  5. Step 5: Solve for x
    x = 10,884,478.31/4,195.51
  6. Step 6: Final answer
    x = 2,594.32

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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.