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Finding the Fourth Proportional to 6,563.50, 9,061.73 and 4,209.75

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Solution

The fourth proportional to 6,563.50, 9,061.73 and 4,209.75 is: 5,812.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.50 : 9,061.73 = 4,209.75 : x
  2. Step 2: Convert to fraction form
    6,563.50/9,061.73 = 4,209.75/x
  3. Step 3: Cross multiply
    6,563.50x = 9,061.73 × 4,209.75
  4. Step 4: Simplify right side
    6,563.50x = 38,147,617.87
  5. Step 5: Solve for x
    x = 38,147,617.87/6,563.50
  6. Step 6: Final answer
    x = 5,812.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.