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Finding the Fourth Proportional to 7,113.56, 10,619 and 6,794.04

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Solution

The fourth proportional to 7,113.56, 10,619 and 6,794.04 is: 10,142.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.56 : 10,619 = 6,794.04 : x
  2. Step 2: Convert to fraction form
    7,113.56/10,619 = 6,794.04/x
  3. Step 3: Cross multiply
    7,113.56x = 10,619 × 6,794.04
  4. Step 4: Simplify right side
    7,113.56x = 72,145,910.76
  5. Step 5: Solve for x
    x = 72,145,910.76/7,113.56
  6. Step 6: Final answer
    x = 10,142.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.