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Finding the Fourth Proportional to 7,698.55, 11,549.58 and 2,433.53

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Solution

The fourth proportional to 7,698.55, 11,549.58 and 2,433.53 is: 3,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.55 : 11,549.58 = 2,433.53 : x
  2. Step 2: Convert to fraction form
    7,698.55/11,549.58 = 2,433.53/x
  3. Step 3: Cross multiply
    7,698.55x = 11,549.58 × 2,433.53
  4. Step 4: Simplify right side
    7,698.55x = 28,106,249.42
  5. Step 5: Solve for x
    x = 28,106,249.42/7,698.55
  6. Step 6: Final answer
    x = 3,650.85

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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.