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Finding the Fourth Proportional to 7,165.46, 10,735.46 and 6,114.80

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Solution

The fourth proportional to 7,165.46, 10,735.46 and 6,114.80 is: 9,161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.46 : 10,735.46 = 6,114.80 : x
  2. Step 2: Convert to fraction form
    7,165.46/10,735.46 = 6,114.80/x
  3. Step 3: Cross multiply
    7,165.46x = 10,735.46 × 6,114.80
  4. Step 4: Simplify right side
    7,165.46x = 65,645,190.81
  5. Step 5: Solve for x
    x = 65,645,190.81/7,165.46
  6. Step 6: Final answer
    x = 9,161.34

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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.