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Finding the Fourth Proportional to 12,396.25, 17,106.96 and 6,807.25

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Solution

The fourth proportional to 12,396.25, 17,106.96 and 6,807.25 is: 9,394.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,396.25 : 17,106.96 = 6,807.25 : x
  2. Step 2: Convert to fraction form
    12,396.25/17,106.96 = 6,807.25/x
  3. Step 3: Cross multiply
    12,396.25x = 17,106.96 × 6,807.25
  4. Step 4: Simplify right side
    12,396.25x = 116,451,353.46
  5. Step 5: Solve for x
    x = 116,451,353.46/12,396.25
  6. Step 6: Final answer
    x = 9,394.08

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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.