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Finding the Fourth Proportional to 6,981.46, 10,471.93 and 1,716.49

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Solution

The fourth proportional to 6,981.46, 10,471.93 and 1,716.49 is: 2,574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.46 : 10,471.93 = 1,716.49 : x
  2. Step 2: Convert to fraction form
    6,981.46/10,471.93 = 1,716.49/x
  3. Step 3: Cross multiply
    6,981.46x = 10,471.93 × 1,716.49
  4. Step 4: Simplify right side
    6,981.46x = 17,974,981.58
  5. Step 5: Solve for x
    x = 17,974,981.58/6,981.46
  6. Step 6: Final answer
    x = 2,574.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.