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Finding the Fourth Proportional to 8,869.94, 13,282.98 and 6,524.46

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Solution

The fourth proportional to 8,869.94, 13,282.98 and 6,524.46 is: 9,770.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,869.94 : 13,282.98 = 6,524.46 : x
  2. Step 2: Convert to fraction form
    8,869.94/13,282.98 = 6,524.46/x
  3. Step 3: Cross multiply
    8,869.94x = 13,282.98 × 6,524.46
  4. Step 4: Simplify right side
    8,869.94x = 86,664,271.69
  5. Step 5: Solve for x
    x = 86,664,271.69/8,869.94
  6. Step 6: Final answer
    x = 9,770.56

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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.