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Finding the Fourth Proportional to 9,807.73, 14,706.97 and 3,563.34

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Solution

The fourth proportional to 9,807.73, 14,706.97 and 3,563.34 is: 5,343.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.73 : 14,706.97 = 3,563.34 : x
  2. Step 2: Convert to fraction form
    9,807.73/14,706.97 = 3,563.34/x
  3. Step 3: Cross multiply
    9,807.73x = 14,706.97 × 3,563.34
  4. Step 4: Simplify right side
    9,807.73x = 52,405,934.48
  5. Step 5: Solve for x
    x = 52,405,934.48/9,807.73
  6. Step 6: Final answer
    x = 5,343.33

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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.