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Finding the Fourth Proportional to 7,041, 9,716.76 and 4,057.56

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Solution

The fourth proportional to 7,041, 9,716.76 and 4,057.56 is: 5,599.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041 : 9,716.76 = 4,057.56 : x
  2. Step 2: Convert to fraction form
    7,041/9,716.76 = 4,057.56/x
  3. Step 3: Cross multiply
    7,041x = 9,716.76 × 4,057.56
  4. Step 4: Simplify right side
    7,041x = 39,426,336.71
  5. Step 5: Solve for x
    x = 39,426,336.71/7,041
  6. Step 6: Final answer
    x = 5,599.54

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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.