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Finding the Fourth Proportional to 9,697.95, 13,382.79 and 5,927.42

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Solution

The fourth proportional to 9,697.95, 13,382.79 and 5,927.42 is: 8,179.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.95 : 13,382.79 = 5,927.42 : x
  2. Step 2: Convert to fraction form
    9,697.95/13,382.79 = 5,927.42/x
  3. Step 3: Cross multiply
    9,697.95x = 13,382.79 × 5,927.42
  4. Step 4: Simplify right side
    9,697.95x = 79,325,417.10
  5. Step 5: Solve for x
    x = 79,325,417.10/9,697.95
  6. Step 6: Final answer
    x = 8,179.61

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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.