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Finding the Fourth Proportional to 6,485.22, 9,713.22 and 4,546.08

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Solution

The fourth proportional to 6,485.22, 9,713.22 and 4,546.08 is: 6,808.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.22 : 9,713.22 = 4,546.08 : x
  2. Step 2: Convert to fraction form
    6,485.22/9,713.22 = 4,546.08/x
  3. Step 3: Cross multiply
    6,485.22x = 9,713.22 × 4,546.08
  4. Step 4: Simplify right side
    6,485.22x = 44,157,075.18
  5. Step 5: Solve for x
    x = 44,157,075.18/6,485.22
  6. Step 6: Final answer
    x = 6,808.88

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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.