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Finding the Fourth Proportional to 9,573.56, 13,213.14 and 6,169.60

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Solution

The fourth proportional to 9,573.56, 13,213.14 and 6,169.60 is: 8,515.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.56 : 13,213.14 = 6,169.60 : x
  2. Step 2: Convert to fraction form
    9,573.56/13,213.14 = 6,169.60/x
  3. Step 3: Cross multiply
    9,573.56x = 13,213.14 × 6,169.60
  4. Step 4: Simplify right side
    9,573.56x = 81,519,788.54
  5. Step 5: Solve for x
    x = 81,519,788.54/9,573.56
  6. Step 6: Final answer
    x = 8,515.10

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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.