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Finding the Fourth Proportional to 12,412.54, 18,627.01 and 5,839.24

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Solution

The fourth proportional to 12,412.54, 18,627.01 and 5,839.24 is: 8,762.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.54 : 18,627.01 = 5,839.24 : x
  2. Step 2: Convert to fraction form
    12,412.54/18,627.01 = 5,839.24/x
  3. Step 3: Cross multiply
    12,412.54x = 18,627.01 × 5,839.24
  4. Step 4: Simplify right side
    12,412.54x = 108,767,588.48
  5. Step 5: Solve for x
    x = 108,767,588.48/12,412.54
  6. Step 6: Final answer
    x = 8,762.72

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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.