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Finding the Fourth Proportional to 9,616.62, 14,406.18 and 6,319.76

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Solution

The fourth proportional to 9,616.62, 14,406.18 and 6,319.76 is: 9,467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.62 : 14,406.18 = 6,319.76 : x
  2. Step 2: Convert to fraction form
    9,616.62/14,406.18 = 6,319.76/x
  3. Step 3: Cross multiply
    9,616.62x = 14,406.18 × 6,319.76
  4. Step 4: Simplify right side
    9,616.62x = 91,043,600.12
  5. Step 5: Solve for x
    x = 91,043,600.12/9,616.62
  6. Step 6: Final answer
    x = 9,467.32

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1.5x scale

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.