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Finding the Fourth Proportional to 9,957.47, 13,732.34 and 8,284.41

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Solution

The fourth proportional to 9,957.47, 13,732.34 and 8,284.41 is: 11,425.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.47 : 13,732.34 = 8,284.41 : x
  2. Step 2: Convert to fraction form
    9,957.47/13,732.34 = 8,284.41/x
  3. Step 3: Cross multiply
    9,957.47x = 13,732.34 × 8,284.41
  4. Step 4: Simplify right side
    9,957.47x = 113,764,293.40
  5. Step 5: Solve for x
    x = 113,764,293.40/9,957.47
  6. Step 6: Final answer
    x = 11,425.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.