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Finding the Fourth Proportional to 7,227.34, 9,973.86 and 4,083.58

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Solution

The fourth proportional to 7,227.34, 9,973.86 and 4,083.58 is: 5,635.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.34 : 9,973.86 = 4,083.58 : x
  2. Step 2: Convert to fraction form
    7,227.34/9,973.86 = 4,083.58/x
  3. Step 3: Cross multiply
    7,227.34x = 9,973.86 × 4,083.58
  4. Step 4: Simplify right side
    7,227.34x = 40,729,055.22
  5. Step 5: Solve for x
    x = 40,729,055.22/7,227.34
  6. Step 6: Final answer
    x = 5,635.41

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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.