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Finding the Fourth Proportional to 9,596.48, 14,400.48 and 3,440.96

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Solution

The fourth proportional to 9,596.48, 14,400.48 and 3,440.96 is: 5,163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.48 : 14,400.48 = 3,440.96 : x
  2. Step 2: Convert to fraction form
    9,596.48/14,400.48 = 3,440.96/x
  3. Step 3: Cross multiply
    9,596.48x = 14,400.48 × 3,440.96
  4. Step 4: Simplify right side
    9,596.48x = 49,551,475.66
  5. Step 5: Solve for x
    x = 49,551,475.66/9,596.48
  6. Step 6: Final answer
    x = 5,163.51

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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.