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Finding the Fourth Proportional to 7,166.94, 10,733.46 and 3,648.30

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Solution

The fourth proportional to 7,166.94, 10,733.46 and 3,648.30 is: 5,463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.94 : 10,733.46 = 3,648.30 : x
  2. Step 2: Convert to fraction form
    7,166.94/10,733.46 = 3,648.30/x
  3. Step 3: Cross multiply
    7,166.94x = 10,733.46 × 3,648.30
  4. Step 4: Simplify right side
    7,166.94x = 39,158,882.12
  5. Step 5: Solve for x
    x = 39,158,882.12/7,166.94
  6. Step 6: Final answer
    x = 5,463.82

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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.