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Finding the Fourth Proportional to 4,906.52, 7,359.72 and 1,984.80

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Solution

The fourth proportional to 4,906.52, 7,359.72 and 1,984.80 is: 2,977.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.52 : 7,359.72 = 1,984.80 : x
  2. Step 2: Convert to fraction form
    4,906.52/7,359.72 = 1,984.80/x
  3. Step 3: Cross multiply
    4,906.52x = 7,359.72 × 1,984.80
  4. Step 4: Simplify right side
    4,906.52x = 14,607,572.26
  5. Step 5: Solve for x
    x = 14,607,572.26/4,906.52
  6. Step 6: Final answer
    x = 2,977.18

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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.