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Finding the Fourth Proportional to 7,188.57, 10,783.16 and 2,509.05

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Solution

The fourth proportional to 7,188.57, 10,783.16 and 2,509.05 is: 3,763.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.57 : 10,783.16 = 2,509.05 : x
  2. Step 2: Convert to fraction form
    7,188.57/10,783.16 = 2,509.05/x
  3. Step 3: Cross multiply
    7,188.57x = 10,783.16 × 2,509.05
  4. Step 4: Simplify right side
    7,188.57x = 27,055,487.60
  5. Step 5: Solve for x
    x = 27,055,487.60/7,188.57
  6. Step 6: Final answer
    x = 3,763.68

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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.