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Finding the Fourth Proportional to 6,301.56, 8,693.23 and 4,064.15

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Solution

The fourth proportional to 6,301.56, 8,693.23 and 4,064.15 is: 5,606.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.56 : 8,693.23 = 4,064.15 : x
  2. Step 2: Convert to fraction form
    6,301.56/8,693.23 = 4,064.15/x
  3. Step 3: Cross multiply
    6,301.56x = 8,693.23 × 4,064.15
  4. Step 4: Simplify right side
    6,301.56x = 35,330,570.38
  5. Step 5: Solve for x
    x = 35,330,570.38/6,301.56
  6. Step 6: Final answer
    x = 5,606.64

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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.