Home / 7,024-10,530.52-3,515.39

Finding the Fourth Proportional to 7,024, 10,530.52 and 3,515.39

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Solution

The fourth proportional to 7,024, 10,530.52 and 3,515.39 is: 5,270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024 : 10,530.52 = 3,515.39 : x
  2. Step 2: Convert to fraction form
    7,024/10,530.52 = 3,515.39/x
  3. Step 3: Cross multiply
    7,024x = 10,530.52 × 3,515.39
  4. Step 4: Simplify right side
    7,024x = 37,018,884.70
  5. Step 5: Solve for x
    x = 37,018,884.70/7,024
  6. Step 6: Final answer
    x = 5,270.34

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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.