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Finding the Fourth Proportional to 4,947.99, 7,422.84 and 1,661.40

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Solution

The fourth proportional to 4,947.99, 7,422.84 and 1,661.40 is: 2,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.99 : 7,422.84 = 1,661.40 : x
  2. Step 2: Convert to fraction form
    4,947.99/7,422.84 = 1,661.40/x
  3. Step 3: Cross multiply
    4,947.99x = 7,422.84 × 1,661.40
  4. Step 4: Simplify right side
    4,947.99x = 12,332,306.38
  5. Step 5: Solve for x
    x = 12,332,306.38/4,947.99
  6. Step 6: Final answer
    x = 2,492.39

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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.