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Finding the Fourth Proportional to 23,295.97, 34,943.14 and 7,713.46

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Solution

The fourth proportional to 23,295.97, 34,943.14 and 7,713.46 is: 11,569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,295.97 : 34,943.14 = 7,713.46 : x
  2. Step 2: Convert to fraction form
    23,295.97/34,943.14 = 7,713.46/x
  3. Step 3: Cross multiply
    23,295.97x = 34,943.14 × 7,713.46
  4. Step 4: Simplify right side
    23,295.97x = 269,532,512.66
  5. Step 5: Solve for x
    x = 269,532,512.66/23,295.97
  6. Step 6: Final answer
    x = 11,569.92

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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.