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Finding the Fourth Proportional to 7,160.52, 10,740.84 and 1,966.44

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Solution

The fourth proportional to 7,160.52, 10,740.84 and 1,966.44 is: 2,949.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.52 : 10,740.84 = 1,966.44 : x
  2. Step 2: Convert to fraction form
    7,160.52/10,740.84 = 1,966.44/x
  3. Step 3: Cross multiply
    7,160.52x = 10,740.84 × 1,966.44
  4. Step 4: Simplify right side
    7,160.52x = 21,121,217.41
  5. Step 5: Solve for x
    x = 21,121,217.41/7,160.52
  6. Step 6: Final answer
    x = 2,949.68

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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.