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Finding the Fourth Proportional to 6,342.09, 9,514.16 and 1,958.52

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Solution

The fourth proportional to 6,342.09, 9,514.16 and 1,958.52 is: 2,938.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.09 : 9,514.16 = 1,958.52 : x
  2. Step 2: Convert to fraction form
    6,342.09/9,514.16 = 1,958.52/x
  3. Step 3: Cross multiply
    6,342.09x = 9,514.16 × 1,958.52
  4. Step 4: Simplify right side
    6,342.09x = 18,633,672.64
  5. Step 5: Solve for x
    x = 18,633,672.64/6,342.09
  6. Step 6: Final answer
    x = 2,938.10

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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.