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Finding the Fourth Proportional to 4,662.90, 6,993.35 and 1,542.17

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Solution

The fourth proportional to 4,662.90, 6,993.35 and 1,542.17 is: 2,312.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.90 : 6,993.35 = 1,542.17 : x
  2. Step 2: Convert to fraction form
    4,662.90/6,993.35 = 1,542.17/x
  3. Step 3: Cross multiply
    4,662.90x = 6,993.35 × 1,542.17
  4. Step 4: Simplify right side
    4,662.90x = 10,784,891.89
  5. Step 5: Solve for x
    x = 10,784,891.89/4,662.90
  6. Step 6: Final answer
    x = 2,312.92

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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.