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Finding the Fourth Proportional to 6,994.96, 9,653.04 and 3,851.15

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Solution

The fourth proportional to 6,994.96, 9,653.04 and 3,851.15 is: 5,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.96 : 9,653.04 = 3,851.15 : x
  2. Step 2: Convert to fraction form
    6,994.96/9,653.04 = 3,851.15/x
  3. Step 3: Cross multiply
    6,994.96x = 9,653.04 × 3,851.15
  4. Step 4: Simplify right side
    6,994.96x = 37,175,240.48
  5. Step 5: Solve for x
    x = 37,175,240.48/6,994.96
  6. Step 6: Final answer
    x = 5,314.58

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1.5x scale

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.