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Finding the Fourth Proportional to 23,294.69, 34,943.85 and 7,712.31

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Solution

The fourth proportional to 23,294.69, 34,943.85 and 7,712.31 is: 11,569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,294.69 : 34,943.85 = 7,712.31 : x
  2. Step 2: Convert to fraction form
    23,294.69/34,943.85 = 7,712.31/x
  3. Step 3: Cross multiply
    23,294.69x = 34,943.85 × 7,712.31
  4. Step 4: Simplify right side
    23,294.69x = 269,497,803.79
  5. Step 5: Solve for x
    x = 269,497,803.79/23,294.69
  6. Step 6: Final answer
    x = 11,569.07

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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.