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Finding the Fourth Proportional to 7,227.41, 9,971.02 and 4,537.49

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Solution

The fourth proportional to 7,227.41, 9,971.02 and 4,537.49 is: 6,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.41 : 9,971.02 = 4,537.49 : x
  2. Step 2: Convert to fraction form
    7,227.41/9,971.02 = 4,537.49/x
  3. Step 3: Cross multiply
    7,227.41x = 9,971.02 × 4,537.49
  4. Step 4: Simplify right side
    7,227.41x = 45,243,403.54
  5. Step 5: Solve for x
    x = 45,243,403.54/7,227.41
  6. Step 6: Final answer
    x = 6,259.97

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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.