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Finding the Fourth Proportional to 13,294.32, 19,942.32 and 6,712.80

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Solution

The fourth proportional to 13,294.32, 19,942.32 and 6,712.80 is: 10,069.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.32 : 19,942.32 = 6,712.80 : x
  2. Step 2: Convert to fraction form
    13,294.32/19,942.32 = 6,712.80/x
  3. Step 3: Cross multiply
    13,294.32x = 19,942.32 × 6,712.80
  4. Step 4: Simplify right side
    13,294.32x = 133,868,805.70
  5. Step 5: Solve for x
    x = 133,868,805.70/13,294.32
  6. Step 6: Final answer
    x = 10,069.62

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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.