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Finding the Fourth Proportional to 10,464.50, 15,697.07 and 3,068.97

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Solution

The fourth proportional to 10,464.50, 15,697.07 and 3,068.97 is: 4,603.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.50 : 15,697.07 = 3,068.97 : x
  2. Step 2: Convert to fraction form
    10,464.50/15,697.07 = 3,068.97/x
  3. Step 3: Cross multiply
    10,464.50x = 15,697.07 × 3,068.97
  4. Step 4: Simplify right side
    10,464.50x = 48,173,821.57
  5. Step 5: Solve for x
    x = 48,173,821.57/10,464.50
  6. Step 6: Final answer
    x = 4,603.55

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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.