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Finding the Fourth Proportional to 9,605.68, 14,400.86 and 6,446.48

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Solution

The fourth proportional to 9,605.68, 14,400.86 and 6,446.48 is: 9,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.68 : 14,400.86 = 6,446.48 : x
  2. Step 2: Convert to fraction form
    9,605.68/14,400.86 = 6,446.48/x
  3. Step 3: Cross multiply
    9,605.68x = 14,400.86 × 6,446.48
  4. Step 4: Simplify right side
    9,605.68x = 92,834,872.09
  5. Step 5: Solve for x
    x = 92,834,872.09/9,605.68
  6. Step 6: Final answer
    x = 9,664.58

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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.