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Finding the Fourth Proportional to 9,697.31, 13,381.92 and 5,926.77

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Solution

The fourth proportional to 9,697.31, 13,381.92 and 5,926.77 is: 8,178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.31 : 13,381.92 = 5,926.77 : x
  2. Step 2: Convert to fraction form
    9,697.31/13,381.92 = 5,926.77/x
  3. Step 3: Cross multiply
    9,697.31x = 13,381.92 × 5,926.77
  4. Step 4: Simplify right side
    9,697.31x = 79,311,562.00
  5. Step 5: Solve for x
    x = 79,311,562.00/9,697.31
  6. Step 6: Final answer
    x = 8,178.72

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1.5x scale

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.