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Finding the Fourth Proportional to 4,134.02, 6,200.99 and 1,014.00

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Solution

The fourth proportional to 4,134.02, 6,200.99 and 1,014.00 is: 1,520.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.02 : 6,200.99 = 1,014.00 : x
  2. Step 2: Convert to fraction form
    4,134.02/6,200.99 = 1,014.00/x
  3. Step 3: Cross multiply
    4,134.02x = 6,200.99 × 1,014.00
  4. Step 4: Simplify right side
    4,134.02x = 6,287,818.50
  5. Step 5: Solve for x
    x = 6,287,818.50/4,134.02
  6. Step 6: Final answer
    x = 1,520.99

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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.