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Finding the Fourth Proportional to 7,127.85, 9,816.17 and 6,975.21

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Solution

The fourth proportional to 7,127.85, 9,816.17 and 6,975.21 is: 9,605.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.85 : 9,816.17 = 6,975.21 : x
  2. Step 2: Convert to fraction form
    7,127.85/9,816.17 = 6,975.21/x
  3. Step 3: Cross multiply
    7,127.85x = 9,816.17 × 6,975.21
  4. Step 4: Simplify right side
    7,127.85x = 68,469,812.27
  5. Step 5: Solve for x
    x = 68,469,812.27/7,127.85
  6. Step 6: Final answer
    x = 9,605.96

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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.