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Finding the Fourth Proportional to 14,683.87, 20,263.94 and 7,969.58

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Solution

The fourth proportional to 14,683.87, 20,263.94 and 7,969.58 is: 10,998.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,683.87 : 20,263.94 = 7,969.58 : x
  2. Step 2: Convert to fraction form
    14,683.87/20,263.94 = 7,969.58/x
  3. Step 3: Cross multiply
    14,683.87x = 20,263.94 × 7,969.58
  4. Step 4: Simplify right side
    14,683.87x = 161,495,090.95
  5. Step 5: Solve for x
    x = 161,495,090.95/14,683.87
  6. Step 6: Final answer
    x = 10,998.13

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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.