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Finding the Fourth Proportional to 9,548.55, 13,178.09 and 9,242.37

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Solution

The fourth proportional to 9,548.55, 13,178.09 and 9,242.37 is: 12,755.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.55 : 13,178.09 = 9,242.37 : x
  2. Step 2: Convert to fraction form
    9,548.55/13,178.09 = 9,242.37/x
  3. Step 3: Cross multiply
    9,548.55x = 13,178.09 × 9,242.37
  4. Step 4: Simplify right side
    9,548.55x = 121,796,806.78
  5. Step 5: Solve for x
    x = 121,796,806.78/9,548.55
  6. Step 6: Final answer
    x = 12,755.53

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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.