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Finding the Fourth Proportional to 7,119.56, 9,824.82 and 3,975.76

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Solution

The fourth proportional to 7,119.56, 9,824.82 and 3,975.76 is: 5,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.56 : 9,824.82 = 3,975.76 : x
  2. Step 2: Convert to fraction form
    7,119.56/9,824.82 = 3,975.76/x
  3. Step 3: Cross multiply
    7,119.56x = 9,824.82 × 3,975.76
  4. Step 4: Simplify right side
    7,119.56x = 39,061,126.36
  5. Step 5: Solve for x
    x = 39,061,126.36/7,119.56
  6. Step 6: Final answer
    x = 5,486.45

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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.