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Finding the Fourth Proportional to 6,546.64, 9,820.02 and 5,388.88

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Solution

The fourth proportional to 6,546.64, 9,820.02 and 5,388.88 is: 8,083.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.64 : 9,820.02 = 5,388.88 : x
  2. Step 2: Convert to fraction form
    6,546.64/9,820.02 = 5,388.88/x
  3. Step 3: Cross multiply
    6,546.64x = 9,820.02 × 5,388.88
  4. Step 4: Simplify right side
    6,546.64x = 52,918,909.38
  5. Step 5: Solve for x
    x = 52,918,909.38/6,546.64
  6. Step 6: Final answer
    x = 8,083.37

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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.