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Finding the Fourth Proportional to 6,681.48, 10,016.70 and 3,901.32

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Solution

The fourth proportional to 6,681.48, 10,016.70 and 3,901.32 is: 5,848.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.48 : 10,016.70 = 3,901.32 : x
  2. Step 2: Convert to fraction form
    6,681.48/10,016.70 = 3,901.32/x
  3. Step 3: Cross multiply
    6,681.48x = 10,016.70 × 3,901.32
  4. Step 4: Simplify right side
    6,681.48x = 39,078,352.04
  5. Step 5: Solve for x
    x = 39,078,352.04/6,681.48
  6. Step 6: Final answer
    x = 5,848.76

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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.