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Finding the Fourth Proportional to 9,754.62, 14,629.32 and 2,734.23

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Solution

The fourth proportional to 9,754.62, 14,629.32 and 2,734.23 is: 4,100.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.62 : 14,629.32 = 2,734.23 : x
  2. Step 2: Convert to fraction form
    9,754.62/14,629.32 = 2,734.23/x
  3. Step 3: Cross multiply
    9,754.62x = 14,629.32 × 2,734.23
  4. Step 4: Simplify right side
    9,754.62x = 39,999,925.62
  5. Step 5: Solve for x
    x = 39,999,925.62/9,754.62
  6. Step 6: Final answer
    x = 4,100.61

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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.