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Finding the Fourth Proportional to 5,007.69, 7,511.90 and 1,497.42

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Solution

The fourth proportional to 5,007.69, 7,511.90 and 1,497.42 is: 2,246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007.69 : 7,511.90 = 1,497.42 : x
  2. Step 2: Convert to fraction form
    5,007.69/7,511.90 = 1,497.42/x
  3. Step 3: Cross multiply
    5,007.69x = 7,511.90 × 1,497.42
  4. Step 4: Simplify right side
    5,007.69x = 11,248,469.30
  5. Step 5: Solve for x
    x = 11,248,469.30/5,007.69
  6. Step 6: Final answer
    x = 2,246.24

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1.5x scale

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.