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Finding the Fourth Proportional to 9,891.34, 13,651.13 and 6,306.42

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Solution

The fourth proportional to 9,891.34, 13,651.13 and 6,306.42 is: 8,703.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.34 : 13,651.13 = 6,306.42 : x
  2. Step 2: Convert to fraction form
    9,891.34/13,651.13 = 6,306.42/x
  3. Step 3: Cross multiply
    9,891.34x = 13,651.13 × 6,306.42
  4. Step 4: Simplify right side
    9,891.34x = 86,089,759.25
  5. Step 5: Solve for x
    x = 86,089,759.25/9,891.34
  6. Step 6: Final answer
    x = 8,703.55

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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.