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Finding the Fourth Proportional to 9,994.35, 13,794.12 and 5,962.17

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Solution

The fourth proportional to 9,994.35, 13,794.12 and 5,962.17 is: 8,228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.35 : 13,794.12 = 5,962.17 : x
  2. Step 2: Convert to fraction form
    9,994.35/13,794.12 = 5,962.17/x
  3. Step 3: Cross multiply
    9,994.35x = 13,794.12 × 5,962.17
  4. Step 4: Simplify right side
    9,994.35x = 82,242,888.44
  5. Step 5: Solve for x
    x = 82,242,888.44/9,994.35
  6. Step 6: Final answer
    x = 8,228.94

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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.