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Finding the Fourth Proportional to 9,697.46, 13,379.27 and 5,919.26

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Solution

The fourth proportional to 9,697.46, 13,379.27 and 5,919.26 is: 8,166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.46 : 13,379.27 = 5,919.26 : x
  2. Step 2: Convert to fraction form
    9,697.46/13,379.27 = 5,919.26/x
  3. Step 3: Cross multiply
    9,697.46x = 13,379.27 × 5,919.26
  4. Step 4: Simplify right side
    9,697.46x = 79,195,281.25
  5. Step 5: Solve for x
    x = 79,195,281.25/9,697.46
  6. Step 6: Final answer
    x = 8,166.60

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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.