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Finding the Fourth Proportional to 9,796.42, 13,514.04 and 6,255.90

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Solution

The fourth proportional to 9,796.42, 13,514.04 and 6,255.90 is: 8,629.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.42 : 13,514.04 = 6,255.90 : x
  2. Step 2: Convert to fraction form
    9,796.42/13,514.04 = 6,255.90/x
  3. Step 3: Cross multiply
    9,796.42x = 13,514.04 × 6,255.90
  4. Step 4: Simplify right side
    9,796.42x = 84,542,482.84
  5. Step 5: Solve for x
    x = 84,542,482.84/9,796.42
  6. Step 6: Final answer
    x = 8,629.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.