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Finding the Fourth Proportional to 7,003, 10,504.50 and 2,386

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Solution

The fourth proportional to 7,003, 10,504.50 and 2,386 is: 3,579

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003 : 10,504.50 = 2,386 : x
  2. Step 2: Convert to fraction form
    7,003/10,504.50 = 2,386/x
  3. Step 3: Cross multiply
    7,003x = 10,504.50 × 2,386
  4. Step 4: Simplify right side
    7,003x = 25,063,737
  5. Step 5: Solve for x
    x = 25,063,737/7,003
  6. Step 6: Final answer
    x = 3,579

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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.