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Finding the Fourth Proportional to 8,582.72, 12,855.57 and 5,794.07

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Solution

The fourth proportional to 8,582.72, 12,855.57 and 5,794.07 is: 8,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.72 : 12,855.57 = 5,794.07 : x
  2. Step 2: Convert to fraction form
    8,582.72/12,855.57 = 5,794.07/x
  3. Step 3: Cross multiply
    8,582.72x = 12,855.57 × 5,794.07
  4. Step 4: Simplify right side
    8,582.72x = 74,486,081.44
  5. Step 5: Solve for x
    x = 74,486,081.44/8,582.72
  6. Step 6: Final answer
    x = 8,678.61

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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.