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Finding the Fourth Proportional to 8,596, 12,899.76 and 3,124

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Solution

The fourth proportional to 8,596, 12,899.76 and 3,124 is: 4,688.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596 : 12,899.76 = 3,124 : x
  2. Step 2: Convert to fraction form
    8,596/12,899.76 = 3,124/x
  3. Step 3: Cross multiply
    8,596x = 12,899.76 × 3,124
  4. Step 4: Simplify right side
    8,596x = 40,298,850.24
  5. Step 5: Solve for x
    x = 40,298,850.24/8,596
  6. Step 6: Final answer
    x = 4,688.09

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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.