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Finding the Fourth Proportional to 6,893, 9,512.16 and 4,239.98

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Solution

The fourth proportional to 6,893, 9,512.16 and 4,239.98 is: 5,851.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893 : 9,512.16 = 4,239.98 : x
  2. Step 2: Convert to fraction form
    6,893/9,512.16 = 4,239.98/x
  3. Step 3: Cross multiply
    6,893x = 9,512.16 × 4,239.98
  4. Step 4: Simplify right side
    6,893x = 40,331,368.16
  5. Step 5: Solve for x
    x = 40,331,368.16/6,893
  6. Step 6: Final answer
    x = 5,851.06

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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.