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Finding the Fourth Proportional to 10,197.36, 15,297.64 and 4,354

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Solution

The fourth proportional to 10,197.36, 15,297.64 and 4,354 is: 6,531.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.36 : 15,297.64 = 4,354 : x
  2. Step 2: Convert to fraction form
    10,197.36/15,297.64 = 4,354/x
  3. Step 3: Cross multiply
    10,197.36x = 15,297.64 × 4,354
  4. Step 4: Simplify right side
    10,197.36x = 66,605,924.56
  5. Step 5: Solve for x
    x = 66,605,924.56/10,197.36
  6. Step 6: Final answer
    x = 6,531.68

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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.