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Finding the Fourth Proportional to 7,166.80, 10,746.60 and 3,266.80

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Solution

The fourth proportional to 7,166.80, 10,746.60 and 3,266.80 is: 4,898.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.80 : 10,746.60 = 3,266.80 : x
  2. Step 2: Convert to fraction form
    7,166.80/10,746.60 = 3,266.80/x
  3. Step 3: Cross multiply
    7,166.80x = 10,746.60 × 3,266.80
  4. Step 4: Simplify right side
    7,166.80x = 35,106,992.88
  5. Step 5: Solve for x
    x = 35,106,992.88/7,166.80
  6. Step 6: Final answer
    x = 4,898.56

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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.