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Finding the Fourth Proportional to 9,416, 12,994.07 and 5,167.09

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Solution

The fourth proportional to 9,416, 12,994.07 and 5,167.09 is: 7,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416 : 12,994.07 = 5,167.09 : x
  2. Step 2: Convert to fraction form
    9,416/12,994.07 = 5,167.09/x
  3. Step 3: Cross multiply
    9,416x = 12,994.07 × 5,167.09
  4. Step 4: Simplify right side
    9,416x = 67,141,464.19
  5. Step 5: Solve for x
    x = 67,141,464.19/9,416
  6. Step 6: Final answer
    x = 7,130.57

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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.