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Finding the Fourth Proportional to 9,229, 13,843.44 and 2,303.50

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Solution

The fourth proportional to 9,229, 13,843.44 and 2,303.50 is: 3,455.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229 : 13,843.44 = 2,303.50 : x
  2. Step 2: Convert to fraction form
    9,229/13,843.44 = 2,303.50/x
  3. Step 3: Cross multiply
    9,229x = 13,843.44 × 2,303.50
  4. Step 4: Simplify right side
    9,229x = 31,888,364.04
  5. Step 5: Solve for x
    x = 31,888,364.04/9,229
  6. Step 6: Final answer
    x = 3,455.24

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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.