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Finding the Fourth Proportional to 8,286.29, 11,435.48 and 4,749.51

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Solution

The fourth proportional to 8,286.29, 11,435.48 and 4,749.51 is: 6,554.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.29 : 11,435.48 = 4,749.51 : x
  2. Step 2: Convert to fraction form
    8,286.29/11,435.48 = 4,749.51/x
  3. Step 3: Cross multiply
    8,286.29x = 11,435.48 × 4,749.51
  4. Step 4: Simplify right side
    8,286.29x = 54,312,926.61
  5. Step 5: Solve for x
    x = 54,312,926.61/8,286.29
  6. Step 6: Final answer
    x = 6,554.55

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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.