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Finding the Fourth Proportional to 9,165.96, 12,647.10 and 5,188.04

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Solution

The fourth proportional to 9,165.96, 12,647.10 and 5,188.04 is: 7,158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.96 : 12,647.10 = 5,188.04 : x
  2. Step 2: Convert to fraction form
    9,165.96/12,647.10 = 5,188.04/x
  3. Step 3: Cross multiply
    9,165.96x = 12,647.10 × 5,188.04
  4. Step 4: Simplify right side
    9,165.96x = 65,613,660.68
  5. Step 5: Solve for x
    x = 65,613,660.68/9,165.96
  6. Step 6: Final answer
    x = 7,158.41

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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.