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Finding the Fourth Proportional to 9,606.10, 14,421.30 and 5,167.30

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Solution

The fourth proportional to 9,606.10, 14,421.30 and 5,167.30 is: 7,757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.10 : 14,421.30 = 5,167.30 : x
  2. Step 2: Convert to fraction form
    9,606.10/14,421.30 = 5,167.30/x
  3. Step 3: Cross multiply
    9,606.10x = 14,421.30 × 5,167.30
  4. Step 4: Simplify right side
    9,606.10x = 74,519,183.49
  5. Step 5: Solve for x
    x = 74,519,183.49/9,606.10
  6. Step 6: Final answer
    x = 7,757.49

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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.