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Finding the Fourth Proportional to 9,771.46, 14,657.07 and 2,375.92

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Solution

The fourth proportional to 9,771.46, 14,657.07 and 2,375.92 is: 3,563.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.46 : 14,657.07 = 2,375.92 : x
  2. Step 2: Convert to fraction form
    9,771.46/14,657.07 = 2,375.92/x
  3. Step 3: Cross multiply
    9,771.46x = 14,657.07 × 2,375.92
  4. Step 4: Simplify right side
    9,771.46x = 34,824,013.87
  5. Step 5: Solve for x
    x = 34,824,013.87/9,771.46
  6. Step 6: Final answer
    x = 3,563.85

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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.