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Finding the Fourth Proportional to 6,027.50, 9,040.23 and 1,643.93

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Solution

The fourth proportional to 6,027.50, 9,040.23 and 1,643.93 is: 2,465.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,027.50 : 9,040.23 = 1,643.93 : x
  2. Step 2: Convert to fraction form
    6,027.50/9,040.23 = 1,643.93/x
  3. Step 3: Cross multiply
    6,027.50x = 9,040.23 × 1,643.93
  4. Step 4: Simplify right side
    6,027.50x = 14,861,505.30
  5. Step 5: Solve for x
    x = 14,861,505.30/6,027.50
  6. Step 6: Final answer
    x = 2,465.62

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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.