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Finding the Fourth Proportional to 6,904.67, 9,525.39 and 5,406.58

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Solution

The fourth proportional to 6,904.67, 9,525.39 and 5,406.58 is: 7,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.67 : 9,525.39 = 5,406.58 : x
  2. Step 2: Convert to fraction form
    6,904.67/9,525.39 = 5,406.58/x
  3. Step 3: Cross multiply
    6,904.67x = 9,525.39 × 5,406.58
  4. Step 4: Simplify right side
    6,904.67x = 51,499,735.44
  5. Step 5: Solve for x
    x = 51,499,735.44/6,904.67
  6. Step 6: Final answer
    x = 7,458.68

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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.