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Finding the Fourth Proportional to 11,142.97, 16,714.47 and 4,567.97

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Solution

The fourth proportional to 11,142.97, 16,714.47 and 4,567.97 is: 6,851.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.97 : 16,714.47 = 4,567.97 : x
  2. Step 2: Convert to fraction form
    11,142.97/16,714.47 = 4,567.97/x
  3. Step 3: Cross multiply
    11,142.97x = 16,714.47 × 4,567.97
  4. Step 4: Simplify right side
    11,142.97x = 76,351,197.53
  5. Step 5: Solve for x
    x = 76,351,197.53/11,142.97
  6. Step 6: Final answer
    x = 6,851.96

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1.5x scale

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.