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Finding the Fourth Proportional to 9,416.33, 12,994.09 and 5,167.30

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Solution

The fourth proportional to 9,416.33, 12,994.09 and 5,167.30 is: 7,130.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.33 : 12,994.09 = 5,167.30 : x
  2. Step 2: Convert to fraction form
    9,416.33/12,994.09 = 5,167.30/x
  3. Step 3: Cross multiply
    9,416.33x = 12,994.09 × 5,167.30
  4. Step 4: Simplify right side
    9,416.33x = 67,144,361.26
  5. Step 5: Solve for x
    x = 67,144,361.26/9,416.33
  6. Step 6: Final answer
    x = 7,130.63

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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.