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Finding the Fourth Proportional to 7,853.31, 10,832.76 and 4,664.44

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Solution

The fourth proportional to 7,853.31, 10,832.76 and 4,664.44 is: 6,434.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.31 : 10,832.76 = 4,664.44 : x
  2. Step 2: Convert to fraction form
    7,853.31/10,832.76 = 4,664.44/x
  3. Step 3: Cross multiply
    7,853.31x = 10,832.76 × 4,664.44
  4. Step 4: Simplify right side
    7,853.31x = 50,528,759.05
  5. Step 5: Solve for x
    x = 50,528,759.05/7,853.31
  6. Step 6: Final answer
    x = 6,434.07

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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.