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Finding the Fourth Proportional to 6,553.12, 9,829.68 and 1,622.76

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Solution

The fourth proportional to 6,553.12, 9,829.68 and 1,622.76 is: 2,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.12 : 9,829.68 = 1,622.76 : x
  2. Step 2: Convert to fraction form
    6,553.12/9,829.68 = 1,622.76/x
  3. Step 3: Cross multiply
    6,553.12x = 9,829.68 × 1,622.76
  4. Step 4: Simplify right side
    6,553.12x = 15,951,211.52
  5. Step 5: Solve for x
    x = 15,951,211.52/6,553.12
  6. Step 6: Final answer
    x = 2,434.14

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Similar ratio
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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.