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Finding the Fourth Proportional to 9,080, 12,530.36 and 5,046.80

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Solution

The fourth proportional to 9,080, 12,530.36 and 5,046.80 is: 6,964.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,080 : 12,530.36 = 5,046.80 : x
  2. Step 2: Convert to fraction form
    9,080/12,530.36 = 5,046.80/x
  3. Step 3: Cross multiply
    9,080x = 12,530.36 × 5,046.80
  4. Step 4: Simplify right side
    9,080x = 63,238,220.85
  5. Step 5: Solve for x
    x = 63,238,220.85/9,080
  6. Step 6: Final answer
    x = 6,964.56

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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.