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Finding the Fourth Proportional to 6,262.04, 9,392.84 and 2,977.48

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Solution

The fourth proportional to 6,262.04, 9,392.84 and 2,977.48 is: 4,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.04 : 9,392.84 = 2,977.48 : x
  2. Step 2: Convert to fraction form
    6,262.04/9,392.84 = 2,977.48/x
  3. Step 3: Cross multiply
    6,262.04x = 9,392.84 × 2,977.48
  4. Step 4: Simplify right side
    6,262.04x = 27,966,993.24
  5. Step 5: Solve for x
    x = 27,966,993.24/6,262.04
  6. Step 6: Final answer
    x = 4,466.12

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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.