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Finding the Fourth Proportional to 6,813.59, 9,402.84 and 3,829.25

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Solution

The fourth proportional to 6,813.59, 9,402.84 and 3,829.25 is: 5,284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.59 : 9,402.84 = 3,829.25 : x
  2. Step 2: Convert to fraction form
    6,813.59/9,402.84 = 3,829.25/x
  3. Step 3: Cross multiply
    6,813.59x = 9,402.84 × 3,829.25
  4. Step 4: Simplify right side
    6,813.59x = 36,005,787.63
  5. Step 5: Solve for x
    x = 36,005,787.63/6,813.59
  6. Step 6: Final answer
    x = 5,284.41

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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.