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Finding the Fourth Proportional to 16,464.01, 24,698.58 and 7,106.65

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Solution

The fourth proportional to 16,464.01, 24,698.58 and 7,106.65 is: 10,661.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.01 : 24,698.58 = 7,106.65 : x
  2. Step 2: Convert to fraction form
    16,464.01/24,698.58 = 7,106.65/x
  3. Step 3: Cross multiply
    16,464.01x = 24,698.58 × 7,106.65
  4. Step 4: Simplify right side
    16,464.01x = 175,524,163.56
  5. Step 5: Solve for x
    x = 175,524,163.56/16,464.01
  6. Step 6: Final answer
    x = 10,661.08

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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.