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Finding the Fourth Proportional to 16,200.61, 24,246.02 and 9,964.58

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Solution

The fourth proportional to 16,200.61, 24,246.02 and 9,964.58 is: 14,913.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200.61 : 24,246.02 = 9,964.58 : x
  2. Step 2: Convert to fraction form
    16,200.61/24,246.02 = 9,964.58/x
  3. Step 3: Cross multiply
    16,200.61x = 24,246.02 × 9,964.58
  4. Step 4: Simplify right side
    16,200.61x = 241,601,309.65
  5. Step 5: Solve for x
    x = 241,601,309.65/16,200.61
  6. Step 6: Final answer
    x = 14,913.10

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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.