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Finding the Fourth Proportional to 8,332.15, 12,498.21 and 2,784.22

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Solution

The fourth proportional to 8,332.15, 12,498.21 and 2,784.22 is: 4,176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,332.15 : 12,498.21 = 2,784.22 : x
  2. Step 2: Convert to fraction form
    8,332.15/12,498.21 = 2,784.22/x
  3. Step 3: Cross multiply
    8,332.15x = 12,498.21 × 2,784.22
  4. Step 4: Simplify right side
    8,332.15x = 34,797,766.25
  5. Step 5: Solve for x
    x = 34,797,766.25/8,332.15
  6. Step 6: Final answer
    x = 4,176.32

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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.