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Finding the Fourth Proportional to 6,305.76, 9,455.04 and 1,921.92

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Solution

The fourth proportional to 6,305.76, 9,455.04 and 1,921.92 is: 2,881.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.76 : 9,455.04 = 1,921.92 : x
  2. Step 2: Convert to fraction form
    6,305.76/9,455.04 = 1,921.92/x
  3. Step 3: Cross multiply
    6,305.76x = 9,455.04 × 1,921.92
  4. Step 4: Simplify right side
    6,305.76x = 18,171,830.48
  5. Step 5: Solve for x
    x = 18,171,830.48/6,305.76
  6. Step 6: Final answer
    x = 2,881.78

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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.