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Finding the Fourth Proportional to 6,414.07, 9,618.81 and 2,465.59

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Solution

The fourth proportional to 6,414.07, 9,618.81 and 2,465.59 is: 3,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.07 : 9,618.81 = 2,465.59 : x
  2. Step 2: Convert to fraction form
    6,414.07/9,618.81 = 2,465.59/x
  3. Step 3: Cross multiply
    6,414.07x = 9,618.81 × 2,465.59
  4. Step 4: Simplify right side
    6,414.07x = 23,716,041.75
  5. Step 5: Solve for x
    x = 23,716,041.75/6,414.07
  6. Step 6: Final answer
    x = 3,697.50

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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.