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Finding the Fourth Proportional to 14,696.63, 20,280.75 and 7,982.07

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Solution

The fourth proportional to 14,696.63, 20,280.75 and 7,982.07 is: 11,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.63 : 20,280.75 = 7,982.07 : x
  2. Step 2: Convert to fraction form
    14,696.63/20,280.75 = 7,982.07/x
  3. Step 3: Cross multiply
    14,696.63x = 20,280.75 × 7,982.07
  4. Step 4: Simplify right side
    14,696.63x = 161,882,366.15
  5. Step 5: Solve for x
    x = 161,882,366.15/14,696.63
  6. Step 6: Final answer
    x = 11,014.93

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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.