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Finding the Fourth Proportional to 4,911.44, 7,374.24 and 4,673.50

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Solution

The fourth proportional to 4,911.44, 7,374.24 and 4,673.50 is: 7,016.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.44 : 7,374.24 = 4,673.50 : x
  2. Step 2: Convert to fraction form
    4,911.44/7,374.24 = 4,673.50/x
  3. Step 3: Cross multiply
    4,911.44x = 7,374.24 × 4,673.50
  4. Step 4: Simplify right side
    4,911.44x = 34,463,492.20
  5. Step 5: Solve for x
    x = 34,463,492.20/4,911.44
  6. Step 6: Final answer
    x = 7,016.99

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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.