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Finding the Fourth Proportional to 6,597.66, 9,896.82 and 3,673.80

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Solution

The fourth proportional to 6,597.66, 9,896.82 and 3,673.80 is: 5,510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.66 : 9,896.82 = 3,673.80 : x
  2. Step 2: Convert to fraction form
    6,597.66/9,896.82 = 3,673.80/x
  3. Step 3: Cross multiply
    6,597.66x = 9,896.82 × 3,673.80
  4. Step 4: Simplify right side
    6,597.66x = 36,358,937.32
  5. Step 5: Solve for x
    x = 36,358,937.32/6,597.66
  6. Step 6: Final answer
    x = 5,510.88

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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.