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Finding the Fourth Proportional to 24,642.34, 36,960.26 and 7,113.94

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Solution

The fourth proportional to 24,642.34, 36,960.26 and 7,113.94 is: 10,669.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,642.34 : 36,960.26 = 7,113.94 : x
  2. Step 2: Convert to fraction form
    24,642.34/36,960.26 = 7,113.94/x
  3. Step 3: Cross multiply
    24,642.34x = 36,960.26 × 7,113.94
  4. Step 4: Simplify right side
    24,642.34x = 262,933,072.02
  5. Step 5: Solve for x
    x = 262,933,072.02/24,642.34
  6. Step 6: Final answer
    x = 10,669.97

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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.