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Finding the Fourth Proportional to 14,701.81, 20,289.41 and 8,414.05

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Solution

The fourth proportional to 14,701.81, 20,289.41 and 8,414.05 is: 11,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701.81 : 20,289.41 = 8,414.05 : x
  2. Step 2: Convert to fraction form
    14,701.81/20,289.41 = 8,414.05/x
  3. Step 3: Cross multiply
    14,701.81x = 20,289.41 × 8,414.05
  4. Step 4: Simplify right side
    14,701.81x = 170,716,068.14
  5. Step 5: Solve for x
    x = 170,716,068.14/14,701.81
  6. Step 6: Final answer
    x = 11,611.91

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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.