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Finding the Fourth Proportional to 9,804.29, 14,706.42 and 3,960.89

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Solution

The fourth proportional to 9,804.29, 14,706.42 and 3,960.89 is: 5,941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.29 : 14,706.42 = 3,960.89 : x
  2. Step 2: Convert to fraction form
    9,804.29/14,706.42 = 3,960.89/x
  3. Step 3: Cross multiply
    9,804.29x = 14,706.42 × 3,960.89
  4. Step 4: Simplify right side
    9,804.29x = 58,250,548.68
  5. Step 5: Solve for x
    x = 58,250,548.68/9,804.29
  6. Step 6: Final answer
    x = 5,941.34

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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.