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Finding the Fourth Proportional to 9,267.84, 13,893.12 and 4,645.44

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Solution

The fourth proportional to 9,267.84, 13,893.12 and 4,645.44 is: 6,963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.84 : 13,893.12 = 4,645.44 : x
  2. Step 2: Convert to fraction form
    9,267.84/13,893.12 = 4,645.44/x
  3. Step 3: Cross multiply
    9,267.84x = 13,893.12 × 4,645.44
  4. Step 4: Simplify right side
    9,267.84x = 64,539,655.37
  5. Step 5: Solve for x
    x = 64,539,655.37/9,267.84
  6. Step 6: Final answer
    x = 6,963.83

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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.