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Finding the Fourth Proportional to 6,947.02, 10,401.90 and 4,760.02

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Solution

The fourth proportional to 6,947.02, 10,401.90 and 4,760.02 is: 7,127.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.02 : 10,401.90 = 4,760.02 : x
  2. Step 2: Convert to fraction form
    6,947.02/10,401.90 = 4,760.02/x
  3. Step 3: Cross multiply
    6,947.02x = 10,401.90 × 4,760.02
  4. Step 4: Simplify right side
    6,947.02x = 49,513,252.04
  5. Step 5: Solve for x
    x = 49,513,252.04/6,947.02
  6. Step 6: Final answer
    x = 7,127.26

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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.