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Finding the Fourth Proportional to 9,697.65, 13,382.38 and 5,927.12

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Solution

The fourth proportional to 9,697.65, 13,382.38 and 5,927.12 is: 8,179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.65 : 13,382.38 = 5,927.12 : x
  2. Step 2: Convert to fraction form
    9,697.65/13,382.38 = 5,927.12/x
  3. Step 3: Cross multiply
    9,697.65x = 13,382.38 × 5,927.12
  4. Step 4: Simplify right side
    9,697.65x = 79,318,972.15
  5. Step 5: Solve for x
    x = 79,318,972.15/9,697.65
  6. Step 6: Final answer
    x = 8,179.20

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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.