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Finding the Fourth Proportional to 14,906.63, 20,571.77 and 8,532.74

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Solution

The fourth proportional to 14,906.63, 20,571.77 and 8,532.74 is: 11,775.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.63 : 20,571.77 = 8,532.74 : x
  2. Step 2: Convert to fraction form
    14,906.63/20,571.77 = 8,532.74/x
  3. Step 3: Cross multiply
    14,906.63x = 20,571.77 × 8,532.74
  4. Step 4: Simplify right side
    14,906.63x = 175,533,637.51
  5. Step 5: Solve for x
    x = 175,533,637.51/14,906.63
  6. Step 6: Final answer
    x = 11,775.54

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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.