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Finding the Fourth Proportional to 23,083.31, 34,628.31 and 7,282.98

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Solution

The fourth proportional to 23,083.31, 34,628.31 and 7,282.98 is: 10,925.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,083.31 : 34,628.31 = 7,282.98 : x
  2. Step 2: Convert to fraction form
    23,083.31/34,628.31 = 7,282.98/x
  3. Step 3: Cross multiply
    23,083.31x = 34,628.31 × 7,282.98
  4. Step 4: Simplify right side
    23,083.31x = 252,197,289.16
  5. Step 5: Solve for x
    x = 252,197,289.16/23,083.31
  6. Step 6: Final answer
    x = 10,925.52

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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.