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Finding the Fourth Proportional to 6,799.59, 10,206.27 and 4,712.40

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Solution

The fourth proportional to 6,799.59, 10,206.27 and 4,712.40 is: 7,073.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,799.59 : 10,206.27 = 4,712.40 : x
  2. Step 2: Convert to fraction form
    6,799.59/10,206.27 = 4,712.40/x
  3. Step 3: Cross multiply
    6,799.59x = 10,206.27 × 4,712.40
  4. Step 4: Simplify right side
    6,799.59x = 48,096,026.75
  5. Step 5: Solve for x
    x = 48,096,026.75/6,799.59
  6. Step 6: Final answer
    x = 7,073.37

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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.