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Finding the Fourth Proportional to 22,465, 33,694.80 and 7,673.59

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Solution

The fourth proportional to 22,465, 33,694.80 and 7,673.59 is: 11,509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,465 : 33,694.80 = 7,673.59 : x
  2. Step 2: Convert to fraction form
    22,465/33,694.80 = 7,673.59/x
  3. Step 3: Cross multiply
    22,465x = 33,694.80 × 7,673.59
  4. Step 4: Simplify right side
    22,465x = 258,560,080.33
  5. Step 5: Solve for x
    x = 258,560,080.33/22,465
  6. Step 6: Final answer
    x = 11,509.46

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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.