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Finding the Fourth Proportional to 6,099.84, 9,141.54 and 4,448.66

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Solution

The fourth proportional to 6,099.84, 9,141.54 and 4,448.66 is: 6,666.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.84 : 9,141.54 = 4,448.66 : x
  2. Step 2: Convert to fraction form
    6,099.84/9,141.54 = 4,448.66/x
  3. Step 3: Cross multiply
    6,099.84x = 9,141.54 × 4,448.66
  4. Step 4: Simplify right side
    6,099.84x = 40,667,557.63
  5. Step 5: Solve for x
    x = 40,667,557.63/6,099.84
  6. Step 6: Final answer
    x = 6,666.99

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1.5x scale

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.