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Finding the Fourth Proportional to 9,645.76, 14,474.07 and 4,451.64

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Solution

The fourth proportional to 9,645.76, 14,474.07 and 4,451.64 is: 6,679.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.76 : 14,474.07 = 4,451.64 : x
  2. Step 2: Convert to fraction form
    9,645.76/14,474.07 = 4,451.64/x
  3. Step 3: Cross multiply
    9,645.76x = 14,474.07 × 4,451.64
  4. Step 4: Simplify right side
    9,645.76x = 64,433,348.97
  5. Step 5: Solve for x
    x = 64,433,348.97/9,645.76
  6. Step 6: Final answer
    x = 6,679.97

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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.