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Finding the Fourth Proportional to 23,570.94, 35,348.94 and 7,984.92

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Solution

The fourth proportional to 23,570.94, 35,348.94 and 7,984.92 is: 11,974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,570.94 : 35,348.94 = 7,984.92 : x
  2. Step 2: Convert to fraction form
    23,570.94/35,348.94 = 7,984.92/x
  3. Step 3: Cross multiply
    23,570.94x = 35,348.94 × 7,984.92
  4. Step 4: Simplify right side
    23,570.94x = 282,258,457.98
  5. Step 5: Solve for x
    x = 282,258,457.98/23,570.94
  6. Step 6: Final answer
    x = 11,974.85

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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.