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Finding the Fourth Proportional to 10,352.84, 14,286.42 and 5,636.84

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Solution

The fourth proportional to 10,352.84, 14,286.42 and 5,636.84 is: 7,778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.84 : 14,286.42 = 5,636.84 : x
  2. Step 2: Convert to fraction form
    10,352.84/14,286.42 = 5,636.84/x
  3. Step 3: Cross multiply
    10,352.84x = 14,286.42 × 5,636.84
  4. Step 4: Simplify right side
    10,352.84x = 80,530,263.71
  5. Step 5: Solve for x
    x = 80,530,263.71/10,352.84
  6. Step 6: Final answer
    x = 7,778.57

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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.