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Finding the Fourth Proportional to 14,696.76, 20,281.61 and 7,982.39

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Solution

The fourth proportional to 14,696.76, 20,281.61 and 7,982.39 is: 11,015.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.76 : 20,281.61 = 7,982.39 : x
  2. Step 2: Convert to fraction form
    14,696.76/20,281.61 = 7,982.39/x
  3. Step 3: Cross multiply
    14,696.76x = 20,281.61 × 7,982.39
  4. Step 4: Simplify right side
    14,696.76x = 161,895,579.53
  5. Step 5: Solve for x
    x = 161,895,579.53/14,696.76
  6. Step 6: Final answer
    x = 11,015.73

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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.