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Finding the Fourth Proportional to 7,804, 11,706 and 2,332

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Solution

The fourth proportional to 7,804, 11,706 and 2,332 is: 3,498

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804 : 11,706 = 2,332 : x
  2. Step 2: Convert to fraction form
    7,804/11,706 = 2,332/x
  3. Step 3: Cross multiply
    7,804x = 11,706 × 2,332
  4. Step 4: Simplify right side
    7,804x = 27,298,392
  5. Step 5: Solve for x
    x = 27,298,392/7,804
  6. Step 6: Final answer
    x = 3,498

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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.