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Finding the Fourth Proportional to 7,806.34, 10,769.07 and 4,662.28

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Solution

The fourth proportional to 7,806.34, 10,769.07 and 4,662.28 is: 6,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.34 : 10,769.07 = 4,662.28 : x
  2. Step 2: Convert to fraction form
    7,806.34/10,769.07 = 4,662.28/x
  3. Step 3: Cross multiply
    7,806.34x = 10,769.07 × 4,662.28
  4. Step 4: Simplify right side
    7,806.34x = 50,208,419.68
  5. Step 5: Solve for x
    x = 50,208,419.68/7,806.34
  6. Step 6: Final answer
    x = 6,431.75

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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.