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Finding the Fourth Proportional to 9,474.61, 13,072.97 and 6,827.89

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Solution

The fourth proportional to 9,474.61, 13,072.97 and 6,827.89 is: 9,421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.61 : 13,072.97 = 6,827.89 : x
  2. Step 2: Convert to fraction form
    9,474.61/13,072.97 = 6,827.89/x
  3. Step 3: Cross multiply
    9,474.61x = 13,072.97 × 6,827.89
  4. Step 4: Simplify right side
    9,474.61x = 89,260,766.99
  5. Step 5: Solve for x
    x = 89,260,766.99/9,474.61
  6. Step 6: Final answer
    x = 9,421.05

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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.