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Finding the Fourth Proportional to 12,571.50, 17,346.74 and 7,265.29

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Solution

The fourth proportional to 12,571.50, 17,346.74 and 7,265.29 is: 10,024.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.50 : 17,346.74 = 7,265.29 : x
  2. Step 2: Convert to fraction form
    12,571.50/17,346.74 = 7,265.29/x
  3. Step 3: Cross multiply
    12,571.50x = 17,346.74 × 7,265.29
  4. Step 4: Simplify right side
    12,571.50x = 126,029,096.65
  5. Step 5: Solve for x
    x = 126,029,096.65/12,571.50
  6. Step 6: Final answer
    x = 10,024.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.