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Finding the Fourth Proportional to 10,465.64, 15,698.25 and 3,069.94

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Solution

The fourth proportional to 10,465.64, 15,698.25 and 3,069.94 is: 4,604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.64 : 15,698.25 = 3,069.94 : x
  2. Step 2: Convert to fraction form
    10,465.64/15,698.25 = 3,069.94/x
  3. Step 3: Cross multiply
    10,465.64x = 15,698.25 × 3,069.94
  4. Step 4: Simplify right side
    10,465.64x = 48,192,685.61
  5. Step 5: Solve for x
    x = 48,192,685.61/10,465.64
  6. Step 6: Final answer
    x = 4,604.85

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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.