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Finding the Fourth Proportional to 6,296.79, 8,689.95 and 3,645.12

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Solution

The fourth proportional to 6,296.79, 8,689.95 and 3,645.12 is: 5,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.79 : 8,689.95 = 3,645.12 : x
  2. Step 2: Convert to fraction form
    6,296.79/8,689.95 = 3,645.12/x
  3. Step 3: Cross multiply
    6,296.79x = 8,689.95 × 3,645.12
  4. Step 4: Simplify right side
    6,296.79x = 31,675,910.54
  5. Step 5: Solve for x
    x = 31,675,910.54/6,296.79
  6. Step 6: Final answer
    x = 5,030.49

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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.