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Finding the Fourth Proportional to 7,005.75, 10,509.63 and 2,563.62

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Solution

The fourth proportional to 7,005.75, 10,509.63 and 2,563.62 is: 3,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.75 : 10,509.63 = 2,563.62 : x
  2. Step 2: Convert to fraction form
    7,005.75/10,509.63 = 2,563.62/x
  3. Step 3: Cross multiply
    7,005.75x = 10,509.63 × 2,563.62
  4. Step 4: Simplify right side
    7,005.75x = 26,942,697.66
  5. Step 5: Solve for x
    x = 26,942,697.66/7,005.75
  6. Step 6: Final answer
    x = 3,845.80

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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.