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Finding the Fourth Proportional to 3,144.04, 4,716.74 and 952.93

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Solution

The fourth proportional to 3,144.04, 4,716.74 and 952.93 is: 1,429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.04 : 4,716.74 = 952.93 : x
  2. Step 2: Convert to fraction form
    3,144.04/4,716.74 = 952.93/x
  3. Step 3: Cross multiply
    3,144.04x = 4,716.74 × 952.93
  4. Step 4: Simplify right side
    3,144.04x = 4,494,730.08
  5. Step 5: Solve for x
    x = 4,494,730.08/3,144.04
  6. Step 6: Final answer
    x = 1,429.61

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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.