Home / 7,524-11,284.86-4,742.25

Finding the Fourth Proportional to 7,524, 11,284.86 and 4,742.25

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Solution

The fourth proportional to 7,524, 11,284.86 and 4,742.25 is: 7,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524 : 11,284.86 = 4,742.25 : x
  2. Step 2: Convert to fraction form
    7,524/11,284.86 = 4,742.25/x
  3. Step 3: Cross multiply
    7,524x = 11,284.86 × 4,742.25
  4. Step 4: Simplify right side
    7,524x = 53,515,627.34
  5. Step 5: Solve for x
    x = 53,515,627.34/7,524
  6. Step 6: Final answer
    x = 7,112.66

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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.