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Finding the Fourth Proportional to 4,249, 6,373.50 and 1,513

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Solution

The fourth proportional to 4,249, 6,373.50 and 1,513 is: 2,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249 : 6,373.50 = 1,513 : x
  2. Step 2: Convert to fraction form
    4,249/6,373.50 = 1,513/x
  3. Step 3: Cross multiply
    4,249x = 6,373.50 × 1,513
  4. Step 4: Simplify right side
    4,249x = 9,643,105.50
  5. Step 5: Solve for x
    x = 9,643,105.50/4,249
  6. Step 6: Final answer
    x = 2,269.50

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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.