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Finding the Fourth Proportional to 8,406.05, 11,599.81 and 5,049

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Solution

The fourth proportional to 8,406.05, 11,599.81 and 5,049 is: 6,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.05 : 11,599.81 = 5,049 : x
  2. Step 2: Convert to fraction form
    8,406.05/11,599.81 = 5,049/x
  3. Step 3: Cross multiply
    8,406.05x = 11,599.81 × 5,049
  4. Step 4: Simplify right side
    8,406.05x = 58,567,428.07
  5. Step 5: Solve for x
    x = 58,567,428.07/8,406.05
  6. Step 6: Final answer
    x = 6,967.30

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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.