Home / 11,537-15,919.98-6,500.39

Finding the Fourth Proportional to 11,537, 15,919.98 and 6,500.39

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Solution

The fourth proportional to 11,537, 15,919.98 and 6,500.39 is: 8,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537 : 15,919.98 = 6,500.39 : x
  2. Step 2: Convert to fraction form
    11,537/15,919.98 = 6,500.39/x
  3. Step 3: Cross multiply
    11,537x = 15,919.98 × 6,500.39
  4. Step 4: Simplify right side
    11,537x = 103,486,078.79
  5. Step 5: Solve for x
    x = 103,486,078.79/11,537
  6. Step 6: Final answer
    x = 8,969.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.