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Finding the Fourth Proportional to 9,754.44, 14,630.11 and 3,180.57

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Solution

The fourth proportional to 9,754.44, 14,630.11 and 3,180.57 is: 4,770.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.44 : 14,630.11 = 3,180.57 : x
  2. Step 2: Convert to fraction form
    9,754.44/14,630.11 = 3,180.57/x
  3. Step 3: Cross multiply
    9,754.44x = 14,630.11 × 3,180.57
  4. Step 4: Simplify right side
    9,754.44x = 46,532,088.96
  5. Step 5: Solve for x
    x = 46,532,088.96/9,754.44
  6. Step 6: Final answer
    x = 4,770.35

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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.