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Finding the Fourth Proportional to 7,182, 9,908.73 and 4,530.06

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Solution

The fourth proportional to 7,182, 9,908.73 and 4,530.06 is: 6,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182 : 9,908.73 = 4,530.06 : x
  2. Step 2: Convert to fraction form
    7,182/9,908.73 = 4,530.06/x
  3. Step 3: Cross multiply
    7,182x = 9,908.73 × 4,530.06
  4. Step 4: Simplify right side
    7,182x = 44,887,141.42
  5. Step 5: Solve for x
    x = 44,887,141.42/7,182
  6. Step 6: Final answer
    x = 6,249.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.