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Finding the Fourth Proportional to 6,700.97, 9,258.83 and 6,464.45

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Solution

The fourth proportional to 6,700.97, 9,258.83 and 6,464.45 is: 8,932.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.97 : 9,258.83 = 6,464.45 : x
  2. Step 2: Convert to fraction form
    6,700.97/9,258.83 = 6,464.45/x
  3. Step 3: Cross multiply
    6,700.97x = 9,258.83 × 6,464.45
  4. Step 4: Simplify right side
    6,700.97x = 59,853,164.98
  5. Step 5: Solve for x
    x = 59,853,164.98/6,700.97
  6. Step 6: Final answer
    x = 8,932.02

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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.