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Finding the Fourth Proportional to 14,683.99, 20,266.01 and 9,662.77

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Solution

The fourth proportional to 14,683.99, 20,266.01 and 9,662.77 is: 13,336.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,683.99 : 20,266.01 = 9,662.77 : x
  2. Step 2: Convert to fraction form
    14,683.99/20,266.01 = 9,662.77/x
  3. Step 3: Cross multiply
    14,683.99x = 20,266.01 × 9,662.77
  4. Step 4: Simplify right side
    14,683.99x = 195,825,745.13
  5. Step 5: Solve for x
    x = 195,825,745.13/14,683.99
  6. Step 6: Final answer
    x = 13,336.00

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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.