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Finding the Fourth Proportional to 20,957.47, 31,435.39 and 7,106.47

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Solution

The fourth proportional to 20,957.47, 31,435.39 and 7,106.47 is: 10,659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957.47 : 31,435.39 = 7,106.47 : x
  2. Step 2: Convert to fraction form
    20,957.47/31,435.39 = 7,106.47/x
  3. Step 3: Cross multiply
    20,957.47x = 31,435.39 × 7,106.47
  4. Step 4: Simplify right side
    20,957.47x = 223,394,586.27
  5. Step 5: Solve for x
    x = 223,394,586.27/20,957.47
  6. Step 6: Final answer
    x = 10,659.43

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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.