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Finding the Fourth Proportional to 4,662.53, 6,992.78 and 1,541.80

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Solution

The fourth proportional to 4,662.53, 6,992.78 and 1,541.80 is: 2,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.53 : 6,992.78 = 1,541.80 : x
  2. Step 2: Convert to fraction form
    4,662.53/6,992.78 = 1,541.80/x
  3. Step 3: Cross multiply
    4,662.53x = 6,992.78 × 1,541.80
  4. Step 4: Simplify right side
    4,662.53x = 10,781,443.01
  5. Step 5: Solve for x
    x = 10,781,443.01/4,662.53
  6. Step 6: Final answer
    x = 2,312.36

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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.