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Finding the Fourth Proportional to 4,949.99, 6,830.98 and 2,712.00

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Solution

The fourth proportional to 4,949.99, 6,830.98 and 2,712.00 is: 3,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.99 : 6,830.98 = 2,712.00 : x
  2. Step 2: Convert to fraction form
    4,949.99/6,830.98 = 2,712.00/x
  3. Step 3: Cross multiply
    4,949.99x = 6,830.98 × 2,712.00
  4. Step 4: Simplify right side
    4,949.99x = 18,525,634.84
  5. Step 5: Solve for x
    x = 18,525,634.84/4,949.99
  6. Step 6: Final answer
    x = 3,742.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.