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Finding the Fourth Proportional to 14,785, 22,192.56 and 7,394.80

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Solution

The fourth proportional to 14,785, 22,192.56 and 7,394.80 is: 11,099.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,785 : 22,192.56 = 7,394.80 : x
  2. Step 2: Convert to fraction form
    14,785/22,192.56 = 7,394.80/x
  3. Step 3: Cross multiply
    14,785x = 22,192.56 × 7,394.80
  4. Step 4: Simplify right side
    14,785x = 164,109,542.69
  5. Step 5: Solve for x
    x = 164,109,542.69/14,785
  6. Step 6: Final answer
    x = 11,099.73

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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.