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Finding the Fourth Proportional to 7,113.50, 10,674.09 and 3,465.50

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Solution

The fourth proportional to 7,113.50, 10,674.09 and 3,465.50 is: 5,200.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.50 : 10,674.09 = 3,465.50 : x
  2. Step 2: Convert to fraction form
    7,113.50/10,674.09 = 3,465.50/x
  3. Step 3: Cross multiply
    7,113.50x = 10,674.09 × 3,465.50
  4. Step 4: Simplify right side
    7,113.50x = 36,991,058.90
  5. Step 5: Solve for x
    x = 36,991,058.90/7,113.50
  6. Step 6: Final answer
    x = 5,200.12

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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.