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Finding the Fourth Proportional to 4,941.24, 7,411.54 and 1,863.16

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Solution

The fourth proportional to 4,941.24, 7,411.54 and 1,863.16 is: 2,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.24 : 7,411.54 = 1,863.16 : x
  2. Step 2: Convert to fraction form
    4,941.24/7,411.54 = 1,863.16/x
  3. Step 3: Cross multiply
    4,941.24x = 7,411.54 × 1,863.16
  4. Step 4: Simplify right side
    4,941.24x = 13,808,884.87
  5. Step 5: Solve for x
    x = 13,808,884.87/4,941.24
  6. Step 6: Final answer
    x = 2,794.62

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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.