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Finding the Fourth Proportional to 6,022.94, 9,011.85 and 5,706.50

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Solution

The fourth proportional to 6,022.94, 9,011.85 and 5,706.50 is: 8,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022.94 : 9,011.85 = 5,706.50 : x
  2. Step 2: Convert to fraction form
    6,022.94/9,011.85 = 5,706.50/x
  3. Step 3: Cross multiply
    6,022.94x = 9,011.85 × 5,706.50
  4. Step 4: Simplify right side
    6,022.94x = 51,426,144.55
  5. Step 5: Solve for x
    x = 51,426,144.55/6,022.94
  6. Step 6: Final answer
    x = 8,538.39

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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.