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Finding the Fourth Proportional to 6,186.54, 9,278.90 and 1,802.82

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Solution

The fourth proportional to 6,186.54, 9,278.90 and 1,802.82 is: 2,703.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.54 : 9,278.90 = 1,802.82 : x
  2. Step 2: Convert to fraction form
    6,186.54/9,278.90 = 1,802.82/x
  3. Step 3: Cross multiply
    6,186.54x = 9,278.90 × 1,802.82
  4. Step 4: Simplify right side
    6,186.54x = 16,728,186.50
  5. Step 5: Solve for x
    x = 16,728,186.50/6,186.54
  6. Step 6: Final answer
    x = 2,703.96

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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.