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Finding the Fourth Proportional to 9,184.68, 12,675 and 5,205.48

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Solution

The fourth proportional to 9,184.68, 12,675 and 5,205.48 is: 7,183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.68 : 12,675 = 5,205.48 : x
  2. Step 2: Convert to fraction form
    9,184.68/12,675 = 5,205.48/x
  3. Step 3: Cross multiply
    9,184.68x = 12,675 × 5,205.48
  4. Step 4: Simplify right side
    9,184.68x = 65,979,459.00
  5. Step 5: Solve for x
    x = 65,979,459.00/9,184.68
  6. Step 6: Final answer
    x = 7,183.64

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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.