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Finding the Fourth Proportional to 9,229.32, 13,844.46 and 2,303.88

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Solution

The fourth proportional to 9,229.32, 13,844.46 and 2,303.88 is: 3,455.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.32 : 13,844.46 = 2,303.88 : x
  2. Step 2: Convert to fraction form
    9,229.32/13,844.46 = 2,303.88/x
  3. Step 3: Cross multiply
    9,229.32x = 13,844.46 × 2,303.88
  4. Step 4: Simplify right side
    9,229.32x = 31,895,974.50
  5. Step 5: Solve for x
    x = 31,895,974.50/9,229.32
  6. Step 6: Final answer
    x = 3,455.94

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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.