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Finding the Fourth Proportional to 7,656, 11,483.91 and 3,965.46

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Solution

The fourth proportional to 7,656, 11,483.91 and 3,965.46 is: 5,948.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656 : 11,483.91 = 3,965.46 : x
  2. Step 2: Convert to fraction form
    7,656/11,483.91 = 3,965.46/x
  3. Step 3: Cross multiply
    7,656x = 11,483.91 × 3,965.46
  4. Step 4: Simplify right side
    7,656x = 45,538,985.75
  5. Step 5: Solve for x
    x = 45,538,985.75/7,656
  6. Step 6: Final answer
    x = 5,948.14

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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.