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Finding the Fourth Proportional to 7,474, 10,315.11 and 4,829.10

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Solution

The fourth proportional to 7,474, 10,315.11 and 4,829.10 is: 6,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474 : 10,315.11 = 4,829.10 : x
  2. Step 2: Convert to fraction form
    7,474/10,315.11 = 4,829.10/x
  3. Step 3: Cross multiply
    7,474x = 10,315.11 × 4,829.10
  4. Step 4: Simplify right side
    7,474x = 49,812,697.70
  5. Step 5: Solve for x
    x = 49,812,697.70/7,474
  6. Step 6: Final answer
    x = 6,664.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.