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Finding the Fourth Proportional to 9,893.94, 13,651.92 and 5,701.38

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Solution

The fourth proportional to 9,893.94, 13,651.92 and 5,701.38 is: 7,866.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.94 : 13,651.92 = 5,701.38 : x
  2. Step 2: Convert to fraction form
    9,893.94/13,651.92 = 5,701.38/x
  3. Step 3: Cross multiply
    9,893.94x = 13,651.92 × 5,701.38
  4. Step 4: Simplify right side
    9,893.94x = 77,834,783.65
  5. Step 5: Solve for x
    x = 77,834,783.65/9,893.94
  6. Step 6: Final answer
    x = 7,866.91

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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.