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Finding the Fourth Proportional to 6,946.75, 10,421.75 and 2,329.75

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Solution

The fourth proportional to 6,946.75, 10,421.75 and 2,329.75 is: 3,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.75 : 10,421.75 = 2,329.75 : x
  2. Step 2: Convert to fraction form
    6,946.75/10,421.75 = 2,329.75/x
  3. Step 3: Cross multiply
    6,946.75x = 10,421.75 × 2,329.75
  4. Step 4: Simplify right side
    6,946.75x = 24,280,072.06
  5. Step 5: Solve for x
    x = 24,280,072.06/6,946.75
  6. Step 6: Final answer
    x = 3,495.17

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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.