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Finding the Fourth Proportional to 24,745.40, 37,085.70 and 9,942.20

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Solution

The fourth proportional to 24,745.40, 37,085.70 and 9,942.20 is: 14,900.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,745.40 : 37,085.70 = 9,942.20 : x
  2. Step 2: Convert to fraction form
    24,745.40/37,085.70 = 9,942.20/x
  3. Step 3: Cross multiply
    24,745.40x = 37,085.70 × 9,942.20
  4. Step 4: Simplify right side
    24,745.40x = 368,713,446.54
  5. Step 5: Solve for x
    x = 368,713,446.54/24,745.40
  6. Step 6: Final answer
    x = 14,900.28

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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.