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Finding the Fourth Proportional to 24,971.82, 37,463.13 and 7,443.06

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Solution

The fourth proportional to 24,971.82, 37,463.13 and 7,443.06 is: 11,166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,971.82 : 37,463.13 = 7,443.06 : x
  2. Step 2: Convert to fraction form
    24,971.82/37,463.13 = 7,443.06/x
  3. Step 3: Cross multiply
    24,971.82x = 37,463.13 × 7,443.06
  4. Step 4: Simplify right side
    24,971.82x = 278,840,324.38
  5. Step 5: Solve for x
    x = 278,840,324.38/24,971.82
  6. Step 6: Final answer
    x = 11,166.20

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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.