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Finding the Fourth Proportional to 6,977.00, 10,470.15 and 2,594.90

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Solution

The fourth proportional to 6,977.00, 10,470.15 and 2,594.90 is: 3,894.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.00 : 10,470.15 = 2,594.90 : x
  2. Step 2: Convert to fraction form
    6,977.00/10,470.15 = 2,594.90/x
  3. Step 3: Cross multiply
    6,977.00x = 10,470.15 × 2,594.90
  4. Step 4: Simplify right side
    6,977.00x = 27,168,939.88
  5. Step 5: Solve for x
    x = 27,168,939.88/6,977.00
  6. Step 6: Final answer
    x = 3,894.07

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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.