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Finding the Fourth Proportional to 6,858.12, 9,460.56 and 4,062

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Solution

The fourth proportional to 6,858.12, 9,460.56 and 4,062 is: 5,603.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.12 : 9,460.56 = 4,062 : x
  2. Step 2: Convert to fraction form
    6,858.12/9,460.56 = 4,062/x
  3. Step 3: Cross multiply
    6,858.12x = 9,460.56 × 4,062
  4. Step 4: Simplify right side
    6,858.12x = 38,428,794.72
  5. Step 5: Solve for x
    x = 38,428,794.72/6,858.12
  6. Step 6: Final answer
    x = 5,603.40

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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.