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Finding the Fourth Proportional to 19,570.92, 29,356.02 and 7,883.84

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Solution

The fourth proportional to 19,570.92, 29,356.02 and 7,883.84 is: 11,825.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,570.92 : 29,356.02 = 7,883.84 : x
  2. Step 2: Convert to fraction form
    19,570.92/29,356.02 = 7,883.84/x
  3. Step 3: Cross multiply
    19,570.92x = 29,356.02 × 7,883.84
  4. Step 4: Simplify right side
    19,570.92x = 231,438,017.94
  5. Step 5: Solve for x
    x = 231,438,017.94/19,570.92
  6. Step 6: Final answer
    x = 11,825.61

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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.