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Finding the Fourth Proportional to 23,164.99, 34,747.49 and 9,310.75

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Solution

The fourth proportional to 23,164.99, 34,747.49 and 9,310.75 is: 13,966.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164.99 : 34,747.49 = 9,310.75 : x
  2. Step 2: Convert to fraction form
    23,164.99/34,747.49 = 9,310.75/x
  3. Step 3: Cross multiply
    23,164.99x = 34,747.49 × 9,310.75
  4. Step 4: Simplify right side
    23,164.99x = 323,525,192.52
  5. Step 5: Solve for x
    x = 323,525,192.52/23,164.99
  6. Step 6: Final answer
    x = 13,966.13

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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.