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Finding the Fourth Proportional to 9,933.54, 14,902.47 and 3,007.50

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Solution

The fourth proportional to 9,933.54, 14,902.47 and 3,007.50 is: 4,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.54 : 14,902.47 = 3,007.50 : x
  2. Step 2: Convert to fraction form
    9,933.54/14,902.47 = 3,007.50/x
  3. Step 3: Cross multiply
    9,933.54x = 14,902.47 × 3,007.50
  4. Step 4: Simplify right side
    9,933.54x = 44,819,178.53
  5. Step 5: Solve for x
    x = 44,819,178.53/9,933.54
  6. Step 6: Final answer
    x = 4,511.90

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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.