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Finding the Fourth Proportional to 7,806.26, 10,767 and 4,970.84

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Solution

The fourth proportional to 7,806.26, 10,767 and 4,970.84 is: 6,856.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.26 : 10,767 = 4,970.84 : x
  2. Step 2: Convert to fraction form
    7,806.26/10,767 = 4,970.84/x
  3. Step 3: Cross multiply
    7,806.26x = 10,767 × 4,970.84
  4. Step 4: Simplify right side
    7,806.26x = 53,521,034.28
  5. Step 5: Solve for x
    x = 53,521,034.28/7,806.26
  6. Step 6: Final answer
    x = 6,856.17

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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.