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Finding the Fourth Proportional to 16,089, 22,201.02 and 9,014.40

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Solution

The fourth proportional to 16,089, 22,201.02 and 9,014.40 is: 12,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,089 : 22,201.02 = 9,014.40 : x
  2. Step 2: Convert to fraction form
    16,089/22,201.02 = 9,014.40/x
  3. Step 3: Cross multiply
    16,089x = 22,201.02 × 9,014.40
  4. Step 4: Simplify right side
    16,089x = 200,128,874.69
  5. Step 5: Solve for x
    x = 200,128,874.69/16,089
  6. Step 6: Final answer
    x = 12,438.86

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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.