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Finding the Fourth Proportional to 6,546.51, 9,814.86 and 3,948.84

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Solution

The fourth proportional to 6,546.51, 9,814.86 and 3,948.84 is: 5,920.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.51 : 9,814.86 = 3,948.84 : x
  2. Step 2: Convert to fraction form
    6,546.51/9,814.86 = 3,948.84/x
  3. Step 3: Cross multiply
    6,546.51x = 9,814.86 × 3,948.84
  4. Step 4: Simplify right side
    6,546.51x = 38,757,311.76
  5. Step 5: Solve for x
    x = 38,757,311.76/6,546.51
  6. Step 6: Final answer
    x = 5,920.30

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1.5x scale

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.