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Finding the Fourth Proportional to 6,904.82, 9,507.56 and 5,205.80

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Solution

The fourth proportional to 6,904.82, 9,507.56 and 5,205.80 is: 7,168.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.82 : 9,507.56 = 5,205.80 : x
  2. Step 2: Convert to fraction form
    6,904.82/9,507.56 = 5,205.80/x
  3. Step 3: Cross multiply
    6,904.82x = 9,507.56 × 5,205.80
  4. Step 4: Simplify right side
    6,904.82x = 49,494,455.85
  5. Step 5: Solve for x
    x = 49,494,455.85/6,904.82
  6. Step 6: Final answer
    x = 7,168.10

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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.