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Finding the Fourth Proportional to 9,750.74, 13,456.12 and 5,921.27

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Solution

The fourth proportional to 9,750.74, 13,456.12 and 5,921.27 is: 8,171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.74 : 13,456.12 = 5,921.27 : x
  2. Step 2: Convert to fraction form
    9,750.74/13,456.12 = 5,921.27/x
  3. Step 3: Cross multiply
    9,750.74x = 13,456.12 × 5,921.27
  4. Step 4: Simplify right side
    9,750.74x = 79,677,252.39
  5. Step 5: Solve for x
    x = 79,677,252.39/9,750.74
  6. Step 6: Final answer
    x = 8,171.41

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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.