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Finding the Fourth Proportional to 8,208.05, 12,307.67 and 2,584.67

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Solution

The fourth proportional to 8,208.05, 12,307.67 and 2,584.67 is: 3,875.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.05 : 12,307.67 = 2,584.67 : x
  2. Step 2: Convert to fraction form
    8,208.05/12,307.67 = 2,584.67/x
  3. Step 3: Cross multiply
    8,208.05x = 12,307.67 × 2,584.67
  4. Step 4: Simplify right side
    8,208.05x = 31,811,210.34
  5. Step 5: Solve for x
    x = 31,811,210.34/8,208.05
  6. Step 6: Final answer
    x = 3,875.61

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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.