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Finding the Fourth Proportional to 6,232.63, 9,326.99 and 3,893.74

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Solution

The fourth proportional to 6,232.63, 9,326.99 and 3,893.74 is: 5,826.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.63 : 9,326.99 = 3,893.74 : x
  2. Step 2: Convert to fraction form
    6,232.63/9,326.99 = 3,893.74/x
  3. Step 3: Cross multiply
    6,232.63x = 9,326.99 × 3,893.74
  4. Step 4: Simplify right side
    6,232.63x = 36,316,860.46
  5. Step 5: Solve for x
    x = 36,316,860.46/6,232.63
  6. Step 6: Final answer
    x = 5,826.89

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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.