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Finding the Fourth Proportional to 8,384.58, 12,582.96 and 6,760.74

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Solution

The fourth proportional to 8,384.58, 12,582.96 and 6,760.74 is: 10,146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.58 : 12,582.96 = 6,760.74 : x
  2. Step 2: Convert to fraction form
    8,384.58/12,582.96 = 6,760.74/x
  3. Step 3: Cross multiply
    8,384.58x = 12,582.96 × 6,760.74
  4. Step 4: Simplify right side
    8,384.58x = 85,070,120.99
  5. Step 5: Solve for x
    x = 85,070,120.99/8,384.58
  6. Step 6: Final answer
    x = 10,146.02

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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.