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Finding the Fourth Proportional to 6,810.52, 9,398.34 and 3,826.32

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Solution

The fourth proportional to 6,810.52, 9,398.34 and 3,826.32 is: 5,280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.52 : 9,398.34 = 3,826.32 : x
  2. Step 2: Convert to fraction form
    6,810.52/9,398.34 = 3,826.32/x
  3. Step 3: Cross multiply
    6,810.52x = 9,398.34 × 3,826.32
  4. Step 4: Simplify right side
    6,810.52x = 35,961,056.31
  5. Step 5: Solve for x
    x = 35,961,056.31/6,810.52
  6. Step 6: Final answer
    x = 5,280.22

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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.