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Finding the Fourth Proportional to 6,465.65, 9,698.48 and 2,083.76

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Solution

The fourth proportional to 6,465.65, 9,698.48 and 2,083.76 is: 3,125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.65 : 9,698.48 = 2,083.76 : x
  2. Step 2: Convert to fraction form
    6,465.65/9,698.48 = 2,083.76/x
  3. Step 3: Cross multiply
    6,465.65x = 9,698.48 × 2,083.76
  4. Step 4: Simplify right side
    6,465.65x = 20,209,245.77
  5. Step 5: Solve for x
    x = 20,209,245.77/6,465.65
  6. Step 6: Final answer
    x = 3,125.63

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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.