Home / 10,102.32-13,948.04-6,327

Finding the Fourth Proportional to 10,102.32, 13,948.04 and 6,327

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Solution

The fourth proportional to 10,102.32, 13,948.04 and 6,327 is: 8,735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.32 : 13,948.04 = 6,327 : x
  2. Step 2: Convert to fraction form
    10,102.32/13,948.04 = 6,327/x
  3. Step 3: Cross multiply
    10,102.32x = 13,948.04 × 6,327
  4. Step 4: Simplify right side
    10,102.32x = 88,249,249.08
  5. Step 5: Solve for x
    x = 88,249,249.08/10,102.32
  6. Step 6: Final answer
    x = 8,735.54

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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.