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Finding the Fourth Proportional to 6,455.76, 9,685.02 and 2,076.29

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Solution

The fourth proportional to 6,455.76, 9,685.02 and 2,076.29 is: 3,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.76 : 9,685.02 = 2,076.29 : x
  2. Step 2: Convert to fraction form
    6,455.76/9,685.02 = 2,076.29/x
  3. Step 3: Cross multiply
    6,455.76x = 9,685.02 × 2,076.29
  4. Step 4: Simplify right side
    6,455.76x = 20,108,899.79
  5. Step 5: Solve for x
    x = 20,108,899.79/6,455.76
  6. Step 6: Final answer
    x = 3,114.88

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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.