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Finding the Fourth Proportional to 9,711, 14,566.54 and 3,555

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Solution

The fourth proportional to 9,711, 14,566.54 and 3,555 is: 5,332.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711 : 14,566.54 = 3,555 : x
  2. Step 2: Convert to fraction form
    9,711/14,566.54 = 3,555/x
  3. Step 3: Cross multiply
    9,711x = 14,566.54 × 3,555
  4. Step 4: Simplify right side
    9,711x = 51,784,049.70
  5. Step 5: Solve for x
    x = 51,784,049.70/9,711
  6. Step 6: Final answer
    x = 5,332.51

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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.