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Finding the Fourth Proportional to 8,175.69, 12,263.69 and 2,332.44

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Solution

The fourth proportional to 8,175.69, 12,263.69 and 2,332.44 is: 3,498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.69 : 12,263.69 = 2,332.44 : x
  2. Step 2: Convert to fraction form
    8,175.69/12,263.69 = 2,332.44/x
  3. Step 3: Cross multiply
    8,175.69x = 12,263.69 × 2,332.44
  4. Step 4: Simplify right side
    8,175.69x = 28,604,326.93
  5. Step 5: Solve for x
    x = 28,604,326.93/8,175.69
  6. Step 6: Final answer
    x = 3,498.70

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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.