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Finding the Fourth Proportional to 6,085.02, 9,127.70 and 4,018.26

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Solution

The fourth proportional to 6,085.02, 9,127.70 and 4,018.26 is: 6,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.02 : 9,127.70 = 4,018.26 : x
  2. Step 2: Convert to fraction form
    6,085.02/9,127.70 = 4,018.26/x
  3. Step 3: Cross multiply
    6,085.02x = 9,127.70 × 4,018.26
  4. Step 4: Simplify right side
    6,085.02x = 36,677,471.80
  5. Step 5: Solve for x
    x = 36,677,471.80/6,085.02
  6. Step 6: Final answer
    x = 6,027.50

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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.