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Finding the Fourth Proportional to 4,937.94, 6,815.00 and 2,814.23

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Solution

The fourth proportional to 4,937.94, 6,815.00 and 2,814.23 is: 3,884.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.94 : 6,815.00 = 2,814.23 : x
  2. Step 2: Convert to fraction form
    4,937.94/6,815.00 = 2,814.23/x
  3. Step 3: Cross multiply
    4,937.94x = 6,815.00 × 2,814.23
  4. Step 4: Simplify right side
    4,937.94x = 19,179,001.52
  5. Step 5: Solve for x
    x = 19,179,001.52/4,937.94
  6. Step 6: Final answer
    x = 3,884.01

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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.