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Finding the Fourth Proportional to 6,994.88, 9,653 and 3,851.13

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Solution

The fourth proportional to 6,994.88, 9,653 and 3,851.13 is: 5,314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.88 : 9,653 = 3,851.13 : x
  2. Step 2: Convert to fraction form
    6,994.88/9,653 = 3,851.13/x
  3. Step 3: Cross multiply
    6,994.88x = 9,653 × 3,851.13
  4. Step 4: Simplify right side
    6,994.88x = 37,174,957.89
  5. Step 5: Solve for x
    x = 37,174,957.89/6,994.88
  6. Step 6: Final answer
    x = 5,314.60

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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.