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Finding the Fourth Proportional to 9,800.34, 14,706.34 and 3,560.84

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Solution

The fourth proportional to 9,800.34, 14,706.34 and 3,560.84 is: 5,343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.34 : 14,706.34 = 3,560.84 : x
  2. Step 2: Convert to fraction form
    9,800.34/14,706.34 = 3,560.84/x
  3. Step 3: Cross multiply
    9,800.34x = 14,706.34 × 3,560.84
  4. Step 4: Simplify right side
    9,800.34x = 52,366,923.73
  5. Step 5: Solve for x
    x = 52,366,923.73/9,800.34
  6. Step 6: Final answer
    x = 5,343.38

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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.