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Finding the Fourth Proportional to 19,713.54, 29,571 and 6,386.22

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Solution

The fourth proportional to 19,713.54, 29,571 and 6,386.22 is: 9,579.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,713.54 : 29,571 = 6,386.22 : x
  2. Step 2: Convert to fraction form
    19,713.54/29,571 = 6,386.22/x
  3. Step 3: Cross multiply
    19,713.54x = 29,571 × 6,386.22
  4. Step 4: Simplify right side
    19,713.54x = 188,846,911.62
  5. Step 5: Solve for x
    x = 188,846,911.62/19,713.54
  6. Step 6: Final answer
    x = 9,579.55

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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.