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Finding the Fourth Proportional to 8,272.48, 11,412.48 and 5,084.05

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Solution

The fourth proportional to 8,272.48, 11,412.48 and 5,084.05 is: 7,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.48 : 11,412.48 = 5,084.05 : x
  2. Step 2: Convert to fraction form
    8,272.48/11,412.48 = 5,084.05/x
  3. Step 3: Cross multiply
    8,272.48x = 11,412.48 × 5,084.05
  4. Step 4: Simplify right side
    8,272.48x = 58,021,618.94
  5. Step 5: Solve for x
    x = 58,021,618.94/8,272.48
  6. Step 6: Final answer
    x = 7,013.81

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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.