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Finding the Fourth Proportional to 6,904.63, 10,347.22 and 5,174.47

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Solution

The fourth proportional to 6,904.63, 10,347.22 and 5,174.47 is: 7,754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.63 : 10,347.22 = 5,174.47 : x
  2. Step 2: Convert to fraction form
    6,904.63/10,347.22 = 5,174.47/x
  3. Step 3: Cross multiply
    6,904.63x = 10,347.22 × 5,174.47
  4. Step 4: Simplify right side
    6,904.63x = 53,541,379.47
  5. Step 5: Solve for x
    x = 53,541,379.47/6,904.63
  6. Step 6: Final answer
    x = 7,754.42

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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.