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Finding the Fourth Proportional to 6,956.73, 10,437.93 and 3,259.08

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Solution

The fourth proportional to 6,956.73, 10,437.93 and 3,259.08 is: 4,889.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.73 : 10,437.93 = 3,259.08 : x
  2. Step 2: Convert to fraction form
    6,956.73/10,437.93 = 3,259.08/x
  3. Step 3: Cross multiply
    6,956.73x = 10,437.93 × 3,259.08
  4. Step 4: Simplify right side
    6,956.73x = 34,018,048.90
  5. Step 5: Solve for x
    x = 34,018,048.90/6,956.73
  6. Step 6: Final answer
    x = 4,889.95

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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.