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Finding the Fourth Proportional to 8,125, 11,212.98 and 4,588.60

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Solution

The fourth proportional to 8,125, 11,212.98 and 4,588.60 is: 6,332.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125 : 11,212.98 = 4,588.60 : x
  2. Step 2: Convert to fraction form
    8,125/11,212.98 = 4,588.60/x
  3. Step 3: Cross multiply
    8,125x = 11,212.98 × 4,588.60
  4. Step 4: Simplify right side
    8,125x = 51,451,880.03
  5. Step 5: Solve for x
    x = 51,451,880.03/8,125
  6. Step 6: Final answer
    x = 6,332.54

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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.