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Finding the Fourth Proportional to 7,267.41, 9,963.69 and 7,136.19

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Solution

The fourth proportional to 7,267.41, 9,963.69 and 7,136.19 is: 9,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.41 : 9,963.69 = 7,136.19 : x
  2. Step 2: Convert to fraction form
    7,267.41/9,963.69 = 7,136.19/x
  3. Step 3: Cross multiply
    7,267.41x = 9,963.69 × 7,136.19
  4. Step 4: Simplify right side
    7,267.41x = 71,102,784.94
  5. Step 5: Solve for x
    x = 71,102,784.94/7,267.41
  6. Step 6: Final answer
    x = 9,783.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.