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Finding the Fourth Proportional to 7,806.51, 10,769.56 and 4,660.88

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Solution

The fourth proportional to 7,806.51, 10,769.56 and 4,660.88 is: 6,429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.51 : 10,769.56 = 4,660.88 : x
  2. Step 2: Convert to fraction form
    7,806.51/10,769.56 = 4,660.88/x
  3. Step 3: Cross multiply
    7,806.51x = 10,769.56 × 4,660.88
  4. Step 4: Simplify right side
    7,806.51x = 50,195,561.31
  5. Step 5: Solve for x
    x = 50,195,561.31/7,806.51
  6. Step 6: Final answer
    x = 6,429.96

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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.