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Finding the Fourth Proportional to 6,204.24, 9,300.72 and 4,014

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Solution

The fourth proportional to 6,204.24, 9,300.72 and 4,014 is: 6,017.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.24 : 9,300.72 = 4,014 : x
  2. Step 2: Convert to fraction form
    6,204.24/9,300.72 = 4,014/x
  3. Step 3: Cross multiply
    6,204.24x = 9,300.72 × 4,014
  4. Step 4: Simplify right side
    6,204.24x = 37,333,090.08
  5. Step 5: Solve for x
    x = 37,333,090.08/6,204.24
  6. Step 6: Final answer
    x = 6,017.35

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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.