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Finding the Fourth Proportional to 8,441.25, 12,629.74 and 5,097.19

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Solution

The fourth proportional to 8,441.25, 12,629.74 and 5,097.19 is: 7,626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.25 : 12,629.74 = 5,097.19 : x
  2. Step 2: Convert to fraction form
    8,441.25/12,629.74 = 5,097.19/x
  3. Step 3: Cross multiply
    8,441.25x = 12,629.74 × 5,097.19
  4. Step 4: Simplify right side
    8,441.25x = 64,376,184.43
  5. Step 5: Solve for x
    x = 64,376,184.43/8,441.25
  6. Step 6: Final answer
    x = 7,626.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.