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Finding the Fourth Proportional to 14,002.96, 20,969.97 and 9,057.46

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Solution

The fourth proportional to 14,002.96, 20,969.97 and 9,057.46 is: 13,563.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.96 : 20,969.97 = 9,057.46 : x
  2. Step 2: Convert to fraction form
    14,002.96/20,969.97 = 9,057.46/x
  3. Step 3: Cross multiply
    14,002.96x = 20,969.97 × 9,057.46
  4. Step 4: Simplify right side
    14,002.96x = 189,934,664.48
  5. Step 5: Solve for x
    x = 189,934,664.48/14,002.96
  6. Step 6: Final answer
    x = 13,563.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.