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Finding the Fourth Proportional to 7,967.17, 11,950.71 and 2,773

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Solution

The fourth proportional to 7,967.17, 11,950.71 and 2,773 is: 4,159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.17 : 11,950.71 = 2,773 : x
  2. Step 2: Convert to fraction form
    7,967.17/11,950.71 = 2,773/x
  3. Step 3: Cross multiply
    7,967.17x = 11,950.71 × 2,773
  4. Step 4: Simplify right side
    7,967.17x = 33,139,318.83
  5. Step 5: Solve for x
    x = 33,139,318.83/7,967.17
  6. Step 6: Final answer
    x = 4,159.48

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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.