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Finding the Fourth Proportional to 6,183, 9,275.04 and 1,566

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Solution

The fourth proportional to 6,183, 9,275.04 and 1,566 is: 2,349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183 : 9,275.04 = 1,566 : x
  2. Step 2: Convert to fraction form
    6,183/9,275.04 = 1,566/x
  3. Step 3: Cross multiply
    6,183x = 9,275.04 × 1,566
  4. Step 4: Simplify right side
    6,183x = 14,524,712.64
  5. Step 5: Solve for x
    x = 14,524,712.64/6,183
  6. Step 6: Final answer
    x = 2,349.14

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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.