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Finding the Fourth Proportional to 24,821.34, 37,232.97 and 7,290.78

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Solution

The fourth proportional to 24,821.34, 37,232.97 and 7,290.78 is: 10,936.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,821.34 : 37,232.97 = 7,290.78 : x
  2. Step 2: Convert to fraction form
    24,821.34/37,232.97 = 7,290.78/x
  3. Step 3: Cross multiply
    24,821.34x = 37,232.97 × 7,290.78
  4. Step 4: Simplify right side
    24,821.34x = 271,457,393.02
  5. Step 5: Solve for x
    x = 271,457,393.02/24,821.34
  6. Step 6: Final answer
    x = 10,936.45

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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.