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Finding the Fourth Proportional to 10,770.46, 14,859.01 and 7,944.56

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Solution

The fourth proportional to 10,770.46, 14,859.01 and 7,944.56 is: 10,960.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.46 : 14,859.01 = 7,944.56 : x
  2. Step 2: Convert to fraction form
    10,770.46/14,859.01 = 7,944.56/x
  3. Step 3: Cross multiply
    10,770.46x = 14,859.01 × 7,944.56
  4. Step 4: Simplify right side
    10,770.46x = 118,048,222.19
  5. Step 5: Solve for x
    x = 118,048,222.19/10,770.46
  6. Step 6: Final answer
    x = 10,960.37

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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.