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Finding the Fourth Proportional to 4,946.86, 7,420.97 and 1,660.89

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Solution

The fourth proportional to 4,946.86, 7,420.97 and 1,660.89 is: 2,491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.86 : 7,420.97 = 1,660.89 : x
  2. Step 2: Convert to fraction form
    4,946.86/7,420.97 = 1,660.89/x
  3. Step 3: Cross multiply
    4,946.86x = 7,420.97 × 1,660.89
  4. Step 4: Simplify right side
    4,946.86x = 12,325,446.84
  5. Step 5: Solve for x
    x = 12,325,446.84/4,946.86
  6. Step 6: Final answer
    x = 2,491.57

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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.