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Finding the Fourth Proportional to 7,209.50, 10,814.26 and 1,737.50

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Solution

The fourth proportional to 7,209.50, 10,814.26 and 1,737.50 is: 2,606.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.50 : 10,814.26 = 1,737.50 : x
  2. Step 2: Convert to fraction form
    7,209.50/10,814.26 = 1,737.50/x
  3. Step 3: Cross multiply
    7,209.50x = 10,814.26 × 1,737.50
  4. Step 4: Simplify right side
    7,209.50x = 18,789,776.75
  5. Step 5: Solve for x
    x = 18,789,776.75/7,209.50
  6. Step 6: Final answer
    x = 2,606.25

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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.