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Finding the Fourth Proportional to 4,911.99, 6,776.54 and 3,023.00

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Solution

The fourth proportional to 4,911.99, 6,776.54 and 3,023.00 is: 4,170.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.99 : 6,776.54 = 3,023.00 : x
  2. Step 2: Convert to fraction form
    4,911.99/6,776.54 = 3,023.00/x
  3. Step 3: Cross multiply
    4,911.99x = 6,776.54 × 3,023.00
  4. Step 4: Simplify right side
    4,911.99x = 20,485,486.54
  5. Step 5: Solve for x
    x = 20,485,486.54/4,911.99
  6. Step 6: Final answer
    x = 4,170.51

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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.