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Finding the Fourth Proportional to 7,806.84, 10,755.36 and 5,444.88

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Solution

The fourth proportional to 7,806.84, 10,755.36 and 5,444.88 is: 7,501.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.84 : 10,755.36 = 5,444.88 : x
  2. Step 2: Convert to fraction form
    7,806.84/10,755.36 = 5,444.88/x
  3. Step 3: Cross multiply
    7,806.84x = 10,755.36 × 5,444.88
  4. Step 4: Simplify right side
    7,806.84x = 58,561,644.56
  5. Step 5: Solve for x
    x = 58,561,644.56/7,806.84
  6. Step 6: Final answer
    x = 7,501.33

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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.