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Finding the Fourth Proportional to 16,323.20, 24,477.60 and 6,459.20

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Solution

The fourth proportional to 16,323.20, 24,477.60 and 6,459.20 is: 9,685.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,323.20 : 24,477.60 = 6,459.20 : x
  2. Step 2: Convert to fraction form
    16,323.20/24,477.60 = 6,459.20/x
  3. Step 3: Cross multiply
    16,323.20x = 24,477.60 × 6,459.20
  4. Step 4: Simplify right side
    16,323.20x = 158,105,713.92
  5. Step 5: Solve for x
    x = 158,105,713.92/16,323.20
  6. Step 6: Final answer
    x = 9,685.95

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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.