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Finding the Fourth Proportional to 7,898.49, 11,847.74 and 2,353.77

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Solution

The fourth proportional to 7,898.49, 11,847.74 and 2,353.77 is: 3,530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.49 : 11,847.74 = 2,353.77 : x
  2. Step 2: Convert to fraction form
    7,898.49/11,847.74 = 2,353.77/x
  3. Step 3: Cross multiply
    7,898.49x = 11,847.74 × 2,353.77
  4. Step 4: Simplify right side
    7,898.49x = 27,886,843.21
  5. Step 5: Solve for x
    x = 27,886,843.21/7,898.49
  6. Step 6: Final answer
    x = 3,530.66

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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.