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Finding the Fourth Proportional to 6,305.26, 9,454.29 and 1,921.42

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Solution

The fourth proportional to 6,305.26, 9,454.29 and 1,921.42 is: 2,881.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.26 : 9,454.29 = 1,921.42 : x
  2. Step 2: Convert to fraction form
    6,305.26/9,454.29 = 1,921.42/x
  3. Step 3: Cross multiply
    6,305.26x = 9,454.29 × 1,921.42
  4. Step 4: Simplify right side
    6,305.26x = 18,165,661.89
  5. Step 5: Solve for x
    x = 18,165,661.89/6,305.26
  6. Step 6: Final answer
    x = 2,881.03

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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.