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Finding the Fourth Proportional to 16,096, 22,210.68 and 9,021.40

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Solution

The fourth proportional to 16,096, 22,210.68 and 9,021.40 is: 12,448.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096 : 22,210.68 = 9,021.40 : x
  2. Step 2: Convert to fraction form
    16,096/22,210.68 = 9,021.40/x
  3. Step 3: Cross multiply
    16,096x = 22,210.68 × 9,021.40
  4. Step 4: Simplify right side
    16,096x = 200,371,428.55
  5. Step 5: Solve for x
    x = 200,371,428.55/16,096
  6. Step 6: Final answer
    x = 12,448.52

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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.