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Finding the Fourth Proportional to 8,147.64, 12,208.68 and 5,946.24

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Solution

The fourth proportional to 8,147.64, 12,208.68 and 5,946.24 is: 8,910.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.64 : 12,208.68 = 5,946.24 : x
  2. Step 2: Convert to fraction form
    8,147.64/12,208.68 = 5,946.24/x
  3. Step 3: Cross multiply
    8,147.64x = 12,208.68 × 5,946.24
  4. Step 4: Simplify right side
    8,147.64x = 72,595,741.36
  5. Step 5: Solve for x
    x = 72,595,741.36/8,147.64
  6. Step 6: Final answer
    x = 8,910.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.