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Finding the Fourth Proportional to 10,765.68, 14,854.02 and 6,286.88

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Solution

The fourth proportional to 10,765.68, 14,854.02 and 6,286.88 is: 8,674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.68 : 14,854.02 = 6,286.88 : x
  2. Step 2: Convert to fraction form
    10,765.68/14,854.02 = 6,286.88/x
  3. Step 3: Cross multiply
    10,765.68x = 14,854.02 × 6,286.88
  4. Step 4: Simplify right side
    10,765.68x = 93,385,441.26
  5. Step 5: Solve for x
    x = 93,385,441.26/10,765.68
  6. Step 6: Final answer
    x = 8,674.37

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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.