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Finding the Fourth Proportional to 10,538.54, 14,546.22 and 6,956.12

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Solution

The fourth proportional to 10,538.54, 14,546.22 and 6,956.12 is: 9,601.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.54 : 14,546.22 = 6,956.12 : x
  2. Step 2: Convert to fraction form
    10,538.54/14,546.22 = 6,956.12/x
  3. Step 3: Cross multiply
    10,538.54x = 14,546.22 × 6,956.12
  4. Step 4: Simplify right side
    10,538.54x = 101,185,179.14
  5. Step 5: Solve for x
    x = 101,185,179.14/10,538.54
  6. Step 6: Final answer
    x = 9,601.44

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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.