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Finding the Fourth Proportional to 9,616.14, 13,268.48 and 6,080.49

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Solution

The fourth proportional to 9,616.14, 13,268.48 and 6,080.49 is: 8,389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.14 : 13,268.48 = 6,080.49 : x
  2. Step 2: Convert to fraction form
    9,616.14/13,268.48 = 6,080.49/x
  3. Step 3: Cross multiply
    9,616.14x = 13,268.48 × 6,080.49
  4. Step 4: Simplify right side
    9,616.14x = 80,678,829.55
  5. Step 5: Solve for x
    x = 80,678,829.55/9,616.14
  6. Step 6: Final answer
    x = 8,389.94

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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.