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Finding the Fourth Proportional to 6,900.97, 9,520.16 and 4,066.41

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Solution

The fourth proportional to 6,900.97, 9,520.16 and 4,066.41 is: 5,609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.97 : 9,520.16 = 4,066.41 : x
  2. Step 2: Convert to fraction form
    6,900.97/9,520.16 = 4,066.41/x
  3. Step 3: Cross multiply
    6,900.97x = 9,520.16 × 4,066.41
  4. Step 4: Simplify right side
    6,900.97x = 38,712,863.66
  5. Step 5: Solve for x
    x = 38,712,863.66/6,900.97
  6. Step 6: Final answer
    x = 5,609.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.