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Finding the Fourth Proportional to 9,633.38, 14,452.98 and 6,827.64

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Solution

The fourth proportional to 9,633.38, 14,452.98 and 6,827.64 is: 10,243.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.38 : 14,452.98 = 6,827.64 : x
  2. Step 2: Convert to fraction form
    9,633.38/14,452.98 = 6,827.64/x
  3. Step 3: Cross multiply
    9,633.38x = 14,452.98 × 6,827.64
  4. Step 4: Simplify right side
    9,633.38x = 98,679,664.56
  5. Step 5: Solve for x
    x = 98,679,664.56/9,633.38
  6. Step 6: Final answer
    x = 10,243.52

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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.