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Finding the Fourth Proportional to 23,200.65, 34,797.74 and 7,616.25

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Solution

The fourth proportional to 23,200.65, 34,797.74 and 7,616.25 is: 11,423.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200.65 : 34,797.74 = 7,616.25 : x
  2. Step 2: Convert to fraction form
    23,200.65/34,797.74 = 7,616.25/x
  3. Step 3: Cross multiply
    23,200.65x = 34,797.74 × 7,616.25
  4. Step 4: Simplify right side
    23,200.65x = 265,028,249.19
  5. Step 5: Solve for x
    x = 265,028,249.19/23,200.65
  6. Step 6: Final answer
    x = 11,423.31

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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.