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Finding the Fourth Proportional to 7,776.71, 10,732.14 and 4,420.09

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Solution

The fourth proportional to 7,776.71, 10,732.14 and 4,420.09 is: 6,099.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.71 : 10,732.14 = 4,420.09 : x
  2. Step 2: Convert to fraction form
    7,776.71/10,732.14 = 4,420.09/x
  3. Step 3: Cross multiply
    7,776.71x = 10,732.14 × 4,420.09
  4. Step 4: Simplify right side
    7,776.71x = 47,436,997.86
  5. Step 5: Solve for x
    x = 47,436,997.86/7,776.71
  6. Step 6: Final answer
    x = 6,099.88

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1.5x scale

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.