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Finding the Fourth Proportional to 6,832.51, 10,253.63 and 5,274.07

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Solution

The fourth proportional to 6,832.51, 10,253.63 and 5,274.07 is: 7,914.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.51 : 10,253.63 = 5,274.07 : x
  2. Step 2: Convert to fraction form
    6,832.51/10,253.63 = 5,274.07/x
  3. Step 3: Cross multiply
    6,832.51x = 10,253.63 × 5,274.07
  4. Step 4: Simplify right side
    6,832.51x = 54,078,336.00
  5. Step 5: Solve for x
    x = 54,078,336.00/6,832.51
  6. Step 6: Final answer
    x = 7,914.86

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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.