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Finding the Fourth Proportional to 6,553.68, 9,819.24 and 4,366.80

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Solution

The fourth proportional to 6,553.68, 9,819.24 and 4,366.80 is: 6,542.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.68 : 9,819.24 = 4,366.80 : x
  2. Step 2: Convert to fraction form
    6,553.68/9,819.24 = 4,366.80/x
  3. Step 3: Cross multiply
    6,553.68x = 9,819.24 × 4,366.80
  4. Step 4: Simplify right side
    6,553.68x = 42,878,657.23
  5. Step 5: Solve for x
    x = 42,878,657.23/6,553.68
  6. Step 6: Final answer
    x = 6,542.68

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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.