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Finding the Fourth Proportional to 10,642.14, 15,971.70 and 4,799.21

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Solution

The fourth proportional to 10,642.14, 15,971.70 and 4,799.21 is: 7,202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.14 : 15,971.70 = 4,799.21 : x
  2. Step 2: Convert to fraction form
    10,642.14/15,971.70 = 4,799.21/x
  3. Step 3: Cross multiply
    10,642.14x = 15,971.70 × 4,799.21
  4. Step 4: Simplify right side
    10,642.14x = 76,651,462.50
  5. Step 5: Solve for x
    x = 76,651,462.50/10,642.14
  6. Step 6: Final answer
    x = 7,202.64

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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.