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Finding the Fourth Proportional to 9,538.77, 14,250.12 and 6,179.67

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Solution

The fourth proportional to 9,538.77, 14,250.12 and 6,179.67 is: 9,231.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.77 : 14,250.12 = 6,179.67 : x
  2. Step 2: Convert to fraction form
    9,538.77/14,250.12 = 6,179.67/x
  3. Step 3: Cross multiply
    9,538.77x = 14,250.12 × 6,179.67
  4. Step 4: Simplify right side
    9,538.77x = 88,061,039.06
  5. Step 5: Solve for x
    x = 88,061,039.06/9,538.77
  6. Step 6: Final answer
    x = 9,231.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.