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Finding the Fourth Proportional to 8,166.02, 11,274.52 and 6,274.22

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Solution

The fourth proportional to 8,166.02, 11,274.52 and 6,274.22 is: 8,662.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.02 : 11,274.52 = 6,274.22 : x
  2. Step 2: Convert to fraction form
    8,166.02/11,274.52 = 6,274.22/x
  3. Step 3: Cross multiply
    8,166.02x = 11,274.52 × 6,274.22
  4. Step 4: Simplify right side
    8,166.02x = 70,738,818.87
  5. Step 5: Solve for x
    x = 70,738,818.87/8,166.02
  6. Step 6: Final answer
    x = 8,662.58

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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.