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Finding the Fourth Proportional to 9,165.29, 13,748.60 and 4,489.22

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Solution

The fourth proportional to 9,165.29, 13,748.60 and 4,489.22 is: 6,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.29 : 13,748.60 = 4,489.22 : x
  2. Step 2: Convert to fraction form
    9,165.29/13,748.60 = 4,489.22/x
  3. Step 3: Cross multiply
    9,165.29x = 13,748.60 × 4,489.22
  4. Step 4: Simplify right side
    9,165.29x = 61,720,535.69
  5. Step 5: Solve for x
    x = 61,720,535.69/9,165.29
  6. Step 6: Final answer
    x = 6,734.16

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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.