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Finding the Fourth Proportional to 12,124.64, 16,739.69 and 8,302.67

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Solution

The fourth proportional to 12,124.64, 16,739.69 and 8,302.67 is: 11,462.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,124.64 : 16,739.69 = 8,302.67 : x
  2. Step 2: Convert to fraction form
    12,124.64/16,739.69 = 8,302.67/x
  3. Step 3: Cross multiply
    12,124.64x = 16,739.69 × 8,302.67
  4. Step 4: Simplify right side
    12,124.64x = 138,984,163.82
  5. Step 5: Solve for x
    x = 138,984,163.82/12,124.64
  6. Step 6: Final answer
    x = 11,462.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.