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Finding the Fourth Proportional to 6,000.53, 8,278.53 and 3,762.50

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Solution

The fourth proportional to 6,000.53, 8,278.53 and 3,762.50 is: 5,190.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.53 : 8,278.53 = 3,762.50 : x
  2. Step 2: Convert to fraction form
    6,000.53/8,278.53 = 3,762.50/x
  3. Step 3: Cross multiply
    6,000.53x = 8,278.53 × 3,762.50
  4. Step 4: Simplify right side
    6,000.53x = 31,147,969.13
  5. Step 5: Solve for x
    x = 31,147,969.13/6,000.53
  6. Step 6: Final answer
    x = 5,190.87

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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.