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Finding the Fourth Proportional to 6,192.32, 9,282 and 4,546.40

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Solution

The fourth proportional to 6,192.32, 9,282 and 4,546.40 is: 6,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.32 : 9,282 = 4,546.40 : x
  2. Step 2: Convert to fraction form
    6,192.32/9,282 = 4,546.40/x
  3. Step 3: Cross multiply
    6,192.32x = 9,282 × 4,546.40
  4. Step 4: Simplify right side
    6,192.32x = 42,199,684.80
  5. Step 5: Solve for x
    x = 42,199,684.80/6,192.32
  6. Step 6: Final answer
    x = 6,814.84

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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.